1
algebra

Solve for xx: 2x+5>132x + 5 > 13

A

x>4x > 4

B

x<4x < 4

C

x>9x > 9

D

x<9x < 9

Correct Answer: A

Choice A is the correct answer. This two-step inequality requires both subtraction and division.

  1. Subtract 5: 2x+55>1352x + 5 - 5 > 13 - 5, giving 2x>82x > 8
  2. Divide by 2: 2x2>82\frac{2x}{2} > \frac{8}{2}, giving x>4x > 4
  3. Verify: Try x=5x = 5: 2(5)+5=15>132(5) + 5 = 15 > 13 ??n ?�� Strategic Tip: Two-step inequalities follow the same order as two-step equations: first eliminate the constant, then eliminate the coefficient.

Choice B is incorrect because it reverses the inequality direction without justification (we divided by positive 2, which doesn't reverse the sign). Choice C is incorrect because it adds 5 and 13 to get 18, then halves it, using faulty logic. Choice D is incorrect because it combines the wrong value (9) with the wrong direction (<).