Logan is solving an a real world problem using absolute value inequalities. Below is the question Logan is solving with his

Question

Logan is solving an a real world problem using absolute
value inequalities. Below is the question Logan is
solving with his steps to solve inequality.
The Question
The ideal weight of a certain toy car is 22.35 ounces.
The actual weight may vary from the ideal by at most
0.12 ounce. Find the range of acceptable weights for
this engine.
Logan's steps:
Step 1: The equation he created was
|x-.12 |≤ 22.35
Step 2:
x-
- .12 ≤ 22.35 and - (x-.12) ≤ 22.35
Step 3: x
22.47 and x > -22.23
Solution: -22.23 ≤ x ≤ 22.47
Which is true about Logan's work?
O Step 2 is incorrect: The second inequality that Logan should
have set up should have been x-.122-22.35.
O Step 3 is incorrect. Logan solved the inequality wrong for
the second inequality and the inequality should be
22.23 making the solution 22.23 ≤x≤ 22.47.
O All steps and the solution is correct.
O Step 1 is incorrect. Logan should have used the equation
x 22.35 | .12.

Kunduz · Accepted Answer

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