Question

what values of x make $3 - 4x > 17$ true? a. $x < \frac{7}{2}$ b. $x < -\frac{7}{2}$ c. $x > \frac{7}{2}$ d. $x < -5$

Explanation:

Step1: Subtract 3 from both sides

$3 - 4x - 3 > 17 - 3$
$-4x > 14$

Step2: Divide by -4, flip inequality

$\frac{-4x}{-4} < \frac{14}{-4}$
$x < -\frac{7}{2}$

Answer:

B. $x < -\frac{7}{2}$