# How do you solve the inequality 3 - 2x > 7?

May 29, 2018

$x < - 2$

#### Explanation:

$3 - 2 x > 7$

Subtract 3 from both sides
$- 2 x > 4$

Divide by 2
$- x > 2$

Multiply by -1
$x < - 2$

May 29, 2018

Transpose terms

$3 - 7 > 2 x$

$- 4 > 2 x$

Divide by 2 both sides

$- 2 > x$ or if you want $x < - 2$

The solution are all number smaller than -2

In interval form $\left(- \infty , - 2\right)$ (excluded -2 because simbol is "<" estrictly)