Question

Find the solution set of the inequality <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{2}{4x-12}$ < <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-3}{3-5x}$, if the replacement set is a set of real numbers.

• A. $x<-15$
• B. $x>-15$
• C. $x>15$
• D. $x<15$

Answer 1

The correct option is D $x<15$

$\frac{2}{4x-12}$ < <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{-3}{3-5x}$

$2(3-5x)$ < $-3(4x-12)$

$6-10x$ < $-12x+36$

$12x-10x$ < $36-6$

$2x$ < $30$

$x$ < $\frac{30}{2}$

$x$ < $15$