7
algebra

Solve: 3x+7>2x+5-3x + 7 > -2x + 5

A

x<2x < 2

B

x>2x > 2

C

x<2x < -2

D

x>2x > -2

Correct Answer: A

Choice A is the correct answer. Collect variables on one side.

  1. Add 3x: 7>x+57 > x + 5
  2. Subtract 5: 2>x2 > x, or x<2x < 2

Alternatively:

  1. Add 2x: x+7>5-x + 7 > 5
  2. Subtract 7: x>2-x > -2
  3. Divide by -1: x<2x < 2 (reverse sign)

?�� Strategic Tip: Both methods work. Adding 3x3x avoids dividing by a negative.

Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it uses negative 2. Choice D is incorrect because it uses negative 2 and wrong direction.