6
algebra

Which value satisfies 4x+9254x + 9 \leq 25?

A

x=5x = 5

B

x=3x = 3

C

x=6x = 6

D

x=7x = 7

Correct Answer: B

Choice B is the correct answer. First solve the inequality, then test which value satisfies it.

  1. Subtract 9: 4x+992594x + 9 - 9 \leq 25 - 9, giving 4x164x \leq 16
  2. Divide by 4: x4x \leq 4
  3. Test choices: Only x=3x = 3 satisfies x4x \leq 4
  4. Verify: 4(3)+9=12+9=21254(3) + 9 = 12 + 9 = 21 \leq 25 ??n ?�� Strategic Tip: When choosing from specific values, solve the inequality first to establish the range, then identify which choices fall within it.

Choice A is incorrect becausex=5x = 5 does not satisfy x4x \leq 4. Check: 4(5)+9=294(5) + 9 = 29, which is not 25\leq 25. Choice C is incorrect becausex=6x = 6 exceeds the solution x4x \leq 4. Choice D is incorrect becausex=7x = 7 is well beyond the solution range.