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HomeGRE › Quantitative Reasoning › Solve the inequality $-3x + 5 \leq 17$.

Solve the inequality $-3x + 5 \leq 17$.

A$x \leq -4$
B$x \geq -4$
C$x \leq 4$
D$x \geq 4$
Answer & Solution
Correct answer: B. $x \geq -4$
Subtract 5 from both sides: $-3x \leq 12$. Divide both sides by $-3$, and reverse the inequality direction because the divisor is negative: $x \geq -4$. Option A keeps the original direction, a common mistake; option C drops the negative sign on $-4$.
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