5
algebra

If 83x2x+38 - 3x \geq 2x + 3, what is the solution?

A

x1x \leq 1

B

x1x \geq 1

C

x5x \leq 5

D

x5x \geq 5

Correct Answer: A

Choice A is the correct answer. Variables on both sides require systematic collection.

  1. Subtract 2x: 83x2x38 - 3x - 2x \geq 3, giving 85x38 - 5x \geq 3
  2. Subtract 8: 5x5-5x \geq -5
  3. Divide by -5: x1x \leq 1 (REVERSE!)

?�� Strategic Tip: Collect all variable terms on one side first, then isolate the variable.

Choice B is incorrect because it fails to reverse when dividing by -5. Choice C is incorrect because it might come from adding 8 and 3 instead of proper solving. Choice D is incorrect because it combines wrong value and wrong direction.