# How do you solve and graph (2x)/3>4x+10?

Mar 31, 2018

$x < - 3$

#### Explanation:

$\frac{2 x}{3} > 4 x + 10$ (Multiply both sides by 3)

$2 x > 3 \left(4 x + 10\right)$ (Distribute 3 to numbers in bracket)

$2 x > 12 x + 30$ (subtract 12x from both sides)

$- 10 x > 30$ (Divide both sides by -10)

$x \succ 3$ (According to math rules, when dividing an inequality by a negative number, > becomes <)

$x < - 3$