How do you solve  2/5(2x-3)>6?

Jun 9, 2016

$x > 9$.

Explanation:

The only important rule to consider with inequalities is to change the direction of the $> \mathmr{and} <$ when you multiply or divide for a negative number. For the rest it is like a normal equation.

$\frac{2}{5} \left(2 x - 3\right) > 6$

$2 x - 3 > 6 \cdot \frac{5}{2}$

$2 x - 3 > 15$

$2 x > 15 + 3$

$2 x > 18$

$x > 9$.