5

Set 13: Linear Inequalities (Intermediate)

Explanation

Answer: A

Which inequality has the solution x5x \leq 5?

A.

2x372x - 3 \leq 7

✓ Correct
B.

2x+372x + 3 \leq 7

C.

2x372x - 3 \geq 7

D.

2x+372x + 3 \geq 7

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Solve each option. 1. Option A: 2x10x52x \leq 10 \rightarrow x \leq 5 ✓ 2. Option B: 2x4x22x \leq 4 \rightarrow x \leq 2 3. Option C: 2x10x52x \geq 10 \rightarrow x \geq 5 4. Option D: 2x4x22x \geq 4 \rightarrow x \geq 2 Strategic Tip: Work backwards from the answer to verify. Choice B is incorrect because it gives x2x \leq 2. Choice C is incorrect because it gives x5x \geq 5. Choice D is incorrect because it gives x2x \geq 2.

Key Steps:

The correct answer is 2x372x - 3 \leq 7

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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