# Question #6547c

Feb 1, 2017

$x < - 7$

#### Explanation:

simplify the left side by distributing and collecting like terms.

$3 x - 18 - 7 x > 10$

$\Rightarrow - 4 x - 18 > 10$

$- 4 x \cancel{- 18} \cancel{+ 18} > 10 + 18$

$\Rightarrow - 4 x > 28$

To solve for x, divide both sides by - 4

$\textcolor{b l u e}{\text{NOTE}}$ when dividing/multiplying an inequality by a negative quantity we must $\textcolor{b l u e}{\text{ reverse the symbol}}$

$\frac{\cancel{- 4} x}{\cancel{- 4}} < \frac{28}{- 4} \leftarrow \textcolor{red}{\text{ reverse symbol}}$

$\Rightarrow x < - 7 \text{ is the solution}$