1
algebra

Solve: 4(x3)<2(x+5)4(x - 3) < 2(x + 5)

A

x<11x < 11

B

x>11x > 11

C

x<8x < 8

D

x>8x > 8

Correct Answer: A

Choice A is the correct answer. This inequality requires distribution on both sides before isolating the variable.

  1. Distribute: 4x12<2x+104x - 12 < 2x + 10
  2. Subtract 2x: 4x2x12<104x - 2x - 12 < 10, giving 2x12<102x - 12 < 10
  3. Add 12: 2x<222x < 22
  4. Divide by 2: x<11x < 11

?�� Strategic Tip: Distribute carefully to remove parentheses first. Then, move all variable terms to one side and constants to the other.

Choice B is incorrect because it reverses the inequality direction without justification. Choice C is incorrect because it might result from adding 12 and 10 incorrectly or dividing prematurely. Choice D is incorrect because it combines wrong value and wrong direction.