Solve the inequality. $$- \frac { 3 } { 2 } x \geq - 18$$
A) $[ 14 , \infty )$
B) $( - \infty , 14 ]$
C) $[ 12 , \infty )$
D) $( - \infty , 12 ]$
E) $( - \infty , 12 )$

Question

Quizplus · Accepted Answer

To solve the inequality $-\frac{3}{2}x \geq -18$, divide both sides by $-\frac{3}{2}$ and remember to flip the inequality sign when dividing by a negative number, resulting in $x \leq 12$. This corresponds to all values of $x$ that are less than or equal to 12, which is option D: $(-\infty, 12]$.

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Solve the Inequality $- \frac { 3 } { 2 } x \geq - 18$