# How do you solve -2x+8>3x+10?

Jan 18, 2016

x <$- \frac{2}{5}$

#### Explanation:

Inequations are solved in a similar way to solving equations.

( collect terms with x to one side usually the left and numbers to the other )

so : - 2x - 3x > 10 - 8 hence - 5x > 2

(To solve for x divide both sides by (- 5 ) . Here you must reverse the inequality sign as dividing by a negative quantity- do the same if multiplying by a negative.)

$\Rightarrow \frac{- 5 x}{-} 5 < \frac{2}{-} 5 \Rightarrow x < - \frac{2}{5}$

Example : -1 < 2

multiply both sides by ( - 1 ) : gives 1 < - 2 which is clearly incorrect and hence the need to reverse the inequality sign .