10
algebra

Which inequality has the solution x5x \leq 5?

A

2x372x - 3 \leq 7

B

2x+372x + 3 \leq 7

C

2x372x - 3 \geq 7

D

2x+372x + 3 \geq 7

Correct Answer: A

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.