6
algebra

Solve: 4x+7>2x94x + 7 > 2x - 9

A

x>8x > -8

B

x<8x < -8

C

x>1x > -1

D

x<1x < -1

Correct Answer: A

Choice A is the correct answer. Variables on both sides need to be collected on one side first.

  1. Subtract 2x: 4x2x+7>2x2x94x - 2x + 7 > 2x - 2x - 9, giving 2x+7>92x + 7 > -9
  2. Subtract 7: 2x>162x > -16
  3. Divide by 2: x>8x > -8

?�� Strategic Tip: Move variable terms to one side and constants to the other, then solve as usual.

Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might come from incorrectly combining 7 and -9 before proper solving. Choice D is incorrect because it combines both wrong value and wrong direction.