# How do you solve -4(x-1)<12?

Jul 10, 2016

$x > - 2$

#### Explanation:

Remember when dividing/multiplying a negative number when dealing with inequalities, the symbol must be switched.

$- 4 \left(x - 1\right) < 12$

Divide out the $- 4$.

$\left(x - 1\right) > - 3$

Use additive inverse to get $x$ by itself (add $1$).

$x > - 2$

We found that $x$ is a solution when it accounts for all values greater than $- 2$.

Jul 10, 2016

$x > - 2$

#### Explanation:

$- 4 \cdot \left(x - 1\right) < 12$

$4 \cdot x - 4 > - 12$

$4 \cdot x > - 8$

$x > - 2$

graph{x> -2 [-10, 10, -5, 5]}