Set 16: Linear Inequalities

Explanation

Answer: D

A rideshare driver earns $ $18per hour minus \$ 3 per hour for vehicle costs. They need to earn more than $90 after working $$h$ hours. Which inequality should they solve?

$18h - 3h > 90$

$18h - 3 > 90$

$15h > 90$

Both A and C are correct

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. Different forms of the same inequality are equivalent. 1. Net rate: $ $18- \$ 3 = $15 per hour 2. Form A: $(18 - 3)h > 90$ simplifies to$ 15h > 90 $3. Form C:$ 15h > 90$$ (already simplified) 4. Both represent the same mathematical relationship Strategic Tip: Recognizing equivalent forms helps verify your setup is correct. Choice alone is incomplete because C is also correct. Choice B is incorrect because it subtracts $3 only once, not per hour. Choice alone is incomplete because A is also correct.

Key Steps:

•

The correct answer is Both A and C are correct

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

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Set 16: Linear Inequalities

Detailed Explanation

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