# How do you solve -420> - 28x?

Mar 31, 2018

color(blue)(x>15

#### Explanation:

We are given the inequality:

color(red)(-420 > -28x

Swap sides. Remember to adjust the inequality sign.

$- 28 x < - 420$

Multiply both the sides of the inequality by $\left(- 1\right)$.

Remember to reverse the inequality.

$\left(- 28 x\right) \left(- 1\right) > \left(- 420\right) \left(- 1\right)$

Simplify.

$28 x > 420$

Divide both sides of the inequality by $28$

$\frac{28 x}{28} > \frac{420}{28}$

Simplify.

$x > 15$

An image of the Inequality graph :

Observe that dashed line indicates the value that is not a part of the solution.

Shaded area represents the required solution.

Hope it helps.