Sets and Relations Questions and Answers

The figure below shows an arrow diagram of a partial order R R b List the maximal elements in the partial order List the minimal elements in the partial order List all the elements that are comparable to e 2 Ex a c

Statement If Then Converse Inverse Contrapositive Use the following statement to write in sentence form the conditional statements If you like math then you like science Symbols Write in Sentence form

Question What is Xn X where X 11 14 67 5 36 99 Y 54 11 99 5 22 808 and Universal Set 2 45 90 22 11 444 14 99 808 67 8 54 36 5 Select the correct answer below O Y nx 2 45 90 22 444 14 808 67 8 54 36 O YnX 11 14 67 5 36 99 54 22 808 O Y nx 2 45 90 444 8 O nX 54 22 808

Select the correct answer Which data set has the greatest spread Set A 84 91 87 77 94 89 74 Set B 89 73 84 91 87 77 94 Set C 73 84 89 88 77 91 87 90 Set D 84 89 88 82 91 87 99 O A OB O C O D Set A Set B Set C Set D

Which of the following sets is a subset of B green 66 9 70 love 8 Select the correct answer below Oh green 6 9 70 8 Og green love 8 Of 70 love 88 Loreen 70 Love 81

One way to measure the amount of energy that a moving object such as a car possesses is by finding its Kinetic Energy The Kinetic Energy Ek measured in Joules of an object depends on the object s mass m measured in kg and velocity v measured in meters per second and can be 2Ek written as v m What is the Kinetic Energy of an object with a mass of 1 700 kilograms that is traveling at 50 meters per second Ek Joules

Consider this conditional statement If there is a total of 50 cents in the piggy bank then the piggy bank is empty except for two quarters a Give the converse of the statement If Choose one then Choose one b Give the inverse of the statement If Choose one then Choose one c Choose one the piggy bank is empty except for two quarters If it is not the case that the piggy bank is empty except for two quarters then there is a total of 50 cents in the piggy bank X

A basketball team has two substitute players Smith and Jordan The coach can choose to use one neither or both of these substitute players in a game In the braces below list all the possible sets of substitute players that the coach can use Write each set in your list in roster form If there is more than one set in your list separate them with commas If you need the empty set in your list use the symbol Smith Jordan 0 0

To make a profit a company s revenue must be greater than its operating costs The company s revenue is modeled by the expression 7 5x 100 where x represents the number of items sold The company s operation costs are modeled by the expression 79 86 5 8x How many items does the company need to sell to make a profit The inequality that will determine the number of items that need to be sold to make a profit is The solution to the inequality is The company must sell at least profit items to make a

Choose the word that correctly completes the analogy querulous complaining disastrous A devastating B beneficial C helpful

Which of the following is the set P for all the names of polygons with more than 3 sides and under 5 sides Select the correct answer below OP tetragon pentagon O P tetragon OP trigon tetragon pentagon P monogon digon trigon

7 Tara is solving an equation Her first step is shown below Solve 4y 8 y 2 6 Step 1 4y 8y 16 6 Which property justifies Tara s first step O Distributive Property O Subtraction Property of Equality O Identity Property

bacteria double in population using binary fission every thirty minutes If the initial population is 85 what lation of bacteria after three hours 5 440 4 550

Question 3 of 20 Which of the following is the best definition of the domain of a relation A The set of all allowable output values or x values B The set of all allowable input values or y values C The set of all allowable output values or y values D The set of all allowable input values or x values SUBMIT

Drag each tile to the correct box Not all tiles will be used A baker is experimenting with a new brand of yeast He bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast After baking both batches of bread he compares the height texture and taste of each batch Match the terms with the correct descriptions in the context of this scenario second batch old brand of yeast height texture and taste 100 the baker explanatory variable control group response variable first batch new brand of yeast

Let A be the set of numbers that are multiples of 3 between 1 and 16 and B be the set of even natural numbers up to and including 20 Find AUB Write your answer in proper set notation Make sure each element is only listed once

Whether the statement is true or false and explain why The empty set is a subset of every set HW Score 0 O Points 0 c Choose the correct answer below OA The statement is true The empty set is a subset of every set A since it has 0 as its only element B The statement is true The empty set is a subset of every set A since it is impossible to find an element of the empty set it has no elements that is not an element of the se C The statement is false The empty set has no elements and so all of its elements there are none do not belong to the nonempty set D The statement is false The empty set is a subset of every set A since it has 0 as its only element

Write the negation of the following statement Pigs can fly or wishes are not wings Choose the correct answer below O A Pigs can not fly and wishes are wings OB If pigs can not fly then wishes are wings OC Pigs can not fly or wishes are wings D Pigs can fly or wishes are wings

iversal set Com acreage A Yellow Corn B yellow corn the yellow corn is the variety Giant Kernel C White Corn D white corn the white corn is the variety Butter and Sugar Choose the correct diagram COD OO O

Use the accompanying Venn diagram which shows the number of elements in region II to answer the following problem If n A 47 n B 45 and n U 77 find the number of elements in each of regions I III and IV Region I has 29 element s Region III has 27 element s 11 18

Is the set of rational numbers a group under the operation of addition? Is the set of rational numbers a group under the operation of addition? If not, why not? Select all that apply. A. Yes, it is a group. B. No, it is not a group. There is no identity element in the set of rational numbers under the operation of addition. C. No, it is not a group. There exist rational numbers a and b such that a + b*b+a. D. No, it is not a group. There exist rational numbers a, b, and c such that (a + b) + c#a+ (b + c). E. No, it is not a group. The set of rational numbers is not closed under the operation of addition. F. No, it is not a group. There is at least one rational number that does not have an inverse in the set of rational numbers under the operation of addition.

In deciding whether or not to set up a new manufacturing plant, analysts for a popcorn company have decided that a linear function is a reasonable estimation for the total cost C(x) in dollars to produce x bags of microwave popcorn. They estimate the cost to produce 10,000 bags as $5,340 and the cost to produce 15,000 bags as $7,710. Find the marginal cost of the bags of microwave popcorn to be produced in this plant. Round answer to the nearest cent. A. $4.74 B. $0.47 C. $0.24 D. $47.40 E. $2.11

can someone please solve this using the rules of inference, implication, replacement! and this is a 54 line proof. i've posted this before too but im not getting the full 54 lines! 54 lines should be there!! Ill definitely give thumbs up!

Solve the absolute value equation. |2a + 10 = |3a-6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. B. The solution set is Ø.

If A = {x | x is an odd integer), B = {x|x is an even integer), C= {2, 3, 4, 5), and D={10, 11, 12, 13), list the element(s) of the following set.

If A = {x|x is an odd integer), B = {x|x is an even integer), C = {2, 3, 4, 5), and D={15, 16, 17, 18), list the element(s) of the following set.

Solve the compound inequality. -3x≤-6 or 4x-1228 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is Ø.

Consider the two sets A = {n EN:n is both a perfect square and a perfect cube} and B = {r € N:r = 0mod 7 or r = 1mod 7). If one wishes to prove A = B. then which of the following describes a valid proof strategy? Select only one answer. (a) Suppose z € A and prove r e B, and then suppose r&A and show r & B. (b) Suppose z E A and prove z € B. (c) Suppose z € An B and conclude re AUB. (d) Suppose z € B and conclude z E A. and then suppose z E A and conclude a contradiction. (e) Suppose z B and conclude z € A.

If a domestic car gets 14 miles per gallon on average, how much carbon dioxide is emitted into the atmosphere when the car travels 335 miles? Express your answer rounded to the nearest tenth of a pound of carbon dioxide. lb of CO₂

Write the set using roster notation. Do not include repeats. Use the ellipsis button, if necessary. Give at least three terms before the ellipsis and at least two terms after the ellipsis. Z= {x|x ε N and 150 <x< 400) Z=

Identify the type of sampling used. At a local technical school, five auto repair classes are randomly selected and all of the students from each class are interviewed. What sampling technique is used? A. systematic B. convenience C. simple random D. cluster E. stratified

Decide whether the statement is true or false. ØE{0} Choose the correct answer below. A. True because (Ø) represents a set with one element, Ø. B. False because Ø contains 0 elements so the only element of (Ø) is 0. C. False because Ø contains no elements so nothing can belong to it. - D. True because (Ø) is a subset of Ø.

Choose which sets of ordered pairs satisfies an exponential function. Select two that apply A {(-1,1), (0,0), (1,1), (2,4)} B {(-1,-9), (1,9), (3,27), (5,45)} C (-2,4), (-1,2), (0,1), (1,0.5)} D (-1,1.5), (0,3), (1,6), (2,12)}

If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A u B)?

Sets D and H are defined as follows. D = {0, 2, 3, 4, 6} H={-1, 1, 3, 4, 6} Answer each part below. Write your answer in roster form or as Ø. (a) Find. the union of D and H. (b) Find the intersection of D and H.

Use the sets to find Fn(DUE). Let D=(16,19,21), E = (16,18,19,20), and F= (15,17,18,19,21). Fn(DUE)= (Use a comma to separate answers as needed.)

In a presidential election, 308 out of 611 voters surveyed said that they voted for the candidate who won (based on the data from ICR Survery Research Group). Use a 0.05 significance level to test the claim that among all voters, the percentage who believe that they voted for the winning candidate is equal to 43%, which is the actual percentage of votes for the swimming candidate. What does the result suggest about voter perceptions?

The hypotenuse of an isosceles right triangle is 18 centimeters longer than either of its legs. Find the exact length of each side. (Hint: An isosceles right triangle is a right triangle whose legs are the same length.) The length of one leg is____ the length of the other leg is______ and the length of the hypotenuse is______

Select two items. 1) Determine whether there is a positive, negative, or no correlation. 2) Identify the equation that best fits the data. x y 0 -3 -4 9 3 9 -3 3 4 17 y = -x^2 - 4x + 3 y = x^2 + x - 3 positive corrrelation no correlation negative correlation y = x² + 2x - 1

If A = {x | x is an even integer), B = {x | x is an odd integer), C = {2, 3, 4, 5), and D = {7, 8, 9, 10), list the element(s) of the following set. A∩D=_____

Let N denote the set of all natural numbers. Define two binary relations on N as R₁ = {(x, y) ∈ N × N: 2x + y = 10} and R₂ = {(x, y) ∈ N × N: x + 2y = 10}. Then : (a) Both R₁ and R₂ are symmetric relations (b) Range of R₁ is {2, 4, 8} (c) Both R₁ and R₂ are transitive relations (d) Range of R₂ is {1,2,3,4}

If A = {x | x is an odd integer), B = {xl x is an even integer}, C = {2, 3, 4, 5), and D = {5, 6, 7, 8), list the element(s) of the following set. a)A∩D=_____

Solve the compound inequality. Graph the solution set and write it in interval notation. x < 4 and x > -1 Choose the correct graph of the solution set. Write the solution set in interval notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (A) The solution set is . (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) (B) The solution set is Ø.

Write the negation of the following statement. Pigs can fly or wishes are not wings. Choose the correct answer below. A. Pigs can not fly and wishes are wings. B. If pigs can not fly then wishes are wings. C. Pigs can not fly or wishes are wings. D. Pigs can fly or wishes are wings.

Form the negation of the statement. It is thundering and lightning. Choose the correct answer below. A. It is not thundering and lightning. B. It is sunny. C. It is never thundering and lightning. D. Sometimes it is not thundering and lightning.

4.2.1: You have worked 5.5, 6, 8, and 6.5 hours so far this week. By Friday night, you want to have worked an average of 7 hours per day this week. How many hours do you need to work Friday to get your average?

Which sets of points represent one-to-one functions? Select all the correct answers. f= {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)} g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)} h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)} i= {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)} j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)} k={(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

Solve the polynomial equation by factoring and then using the zero-product principle. x³ + 2x² = 81x+162 Find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Use a comma to separate answers as needed. Simplify your answer.) B. There is no solution.

Find the union of the following sets. 2.3.5,12)U(3,12,15} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A (2,3,5,12)U(3.12.15)= (Use a comma to separate answers as needed.) B. 2,3,5,12)U(3,12,15)=0

Let U = {1, 2, 3,...), A = {4, 8, 12,...}. Use the roster method to write the set A'. Select the correct choice below. A. A' = {1, 2, 3, 7, 10, 11,...) B. A' = {1, 2, 3, 5, 6, 7, 9, 10, 11,...) C. A' =Ø D. A' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,...}