# How do you solve  3x <5x + 8?

Mar 13, 2016

$x > - 4$

#### Explanation:

At first, solve this just like you would an equation.

Subtract $5 x$ from both sides.

$3 x - 5 x < 5 x + 8 - 5 x$

$- 2 x < 8$

Now, divide both sides by $- 2$. Be careful! Recall that multiplying or dividing an inequality will switch the direction of the inequality sign as well.

So, here, the inequality sign will switch from $<$ to $>$ when we divide by $- 2$, giving the final inequality:

$x > \frac{8}{- 2}$

$x > - 4$