# What is the solution to the inequality 2x-7>15?

Aug 13, 2015

$x > 11$

#### Explanation:

You can solve this inequality by isolating $x$ on one side, first by adding $7$ to both sides of the inequality, then by dividing everything by $2$.

So, adding $7$ to both sides will get you

$2 x - \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} + \textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} > 15 + 7$

$2 x > 22$

Now divide both terms by $2$ to get $x$ alone on the left side of the inequality

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}} > \frac{22}{2}$

$x > \textcolor{g r e e n}{11}$

This means that your inequality is valid for any value of $x$ that is greater than $11$.

graph{x > 11 [-10, 10, -5, 5]}