# How do you solve the inequality (2x - 1) + (x +3) > 18 - x?

Apr 20, 2017

$x > 4$

#### Explanation:

Treat the inequality in the same was as an equation:

• multiply out the brackets
• isolate the $x$ terms on one side.
• solve for $x$

$\left(2 x - 1\right) + \left(x + 3\right) > 18 - x$

$2 x - 1 + x + 3 > 18 - x$

Simplify and add $x$ to both sides:

$3 x + 2 + x > 18 - x + x$

Subtract 2 from both sides

$4 x + 2 - 2 > 18 - 2$

$4 x > 16$

$x > 4$