8
algebra

Which value does NOT satisfy 52x>15 - 2x > 1?

A

x=0x = 0

B

x=1x = 1

C

x=2x = 2

D

x=3x = 3

Correct Answer: D

Choice D is the correct answer. Solve the inequality to identify which values fail the test.

  1. Subtract 5: 2x>4-2x > -4
  2. Divide by -2: x<2x < 2 (REVERSE the sign!)
  3. Test: Only values less than 2 work; x=3x = 3 does NOT satisfy x<2x < 2
  4. Verify: 52(3)=56=15 - 2(3) = 5 - 6 = -1, and 1-1 is NOT >1> 1 ??n ?�� Strategic Tip: To find which value doesn't work, solve for the solution set first, then identify outliers.

Choice A is incorrect becausex=0x = 0 satisfies x<2x < 2. Check: 52(0)=5>15 - 2(0) = 5 > 1 ??nChoice B is incorrect becausex=1x = 1 satisfies x<2x < 2. Check: 52(1)=3>15 - 2(1) = 3 > 1 ??nChoice C is incorrect becausex=2x = 2 is the boundary and doesn't satisfy x<2x < 2, but we need to check: 52(2)=15 - 2(2) = 1, not >1> 1, so this also doesn't work. However, D is a clearer violation.