9
algebra

Solve: 5x(x+2)3x+55x - (x + 2) \geq 3x + 5

A

x7x \geq 7

B

x3x \geq 3

C

x7x \leq 7

D

x3x \leq 3

Correct Answer: A

Choice A is the correct answer. Distribute the negative sign carefully.

  1. Distribute negative: 5xx23x+55x - x - 2 \geq 3x + 5
  2. Combine terms: 4x23x+54x - 2 \geq 3x + 5
  3. Subtract 3x: x25x - 2 \geq 5
  4. Add 2: x7x \geq 7

?�� Strategic Tip:(x+2)-(x + 2) becomes x2-x - 2. Forgetting to distribute the negative to the constant is a common error.

Choice B is incorrect because it might come from adding 2 to 5 incorrectly or failing to distribute the negative. Choice C is incorrect because it reverses the inequality direction. Choice D is incorrect because it combines wrong value and wrong direction.