# How do you solve the inequality 2x> -6 and x - 4<=3 ?

Dec 22, 2015

$x >$$- 3$, $x \le 7$

#### Explanation:

$2 x >$$- 6$
$2 x \textcolor{red}{\div 2} >$$- 6 \textcolor{red}{\div 2}$
$x >$$- 3$

$x - 4 \le 3$
$x - 4$ $\textcolor{red}{+ 4} \le 3$ $\textcolor{red}{+ 4}$
$x \le 7$

Since you do not have to multiply or divide by a negative number in both questions, the "$>$" and "$\le$" signs are not flipped. Instead, they remain the same.