Which of the following is equivalent to -4x + 9 ≥ 25?

Subtract 9 from both sides of $-4x + 9 \geq 25$: $-4x \geq 16$. Divide by $-4$ and reverse the inequality: $x \leq -4$, choice B. Test $x = -5$: $-4(-5) + 9 = 29 \geq 25$, which is true, and $-5 \leq -4$ agrees. Choice A ($x \geq -4$) divides by $-4$ without reversing the sign. Choice C ($x \leq 4$) reverses the sign but loses the negative on the 4. Choice D ($x \geq 4$) makes both mistakes. Test $x = 0$ to catch these: $9 \geq 25$ is false, so 0 must not be in the solution set, which rules out the choices that include it.