# How do you solve and graph 9 ( x - 11 ) > 17 + 7x?

Aug 10, 2015

$\textcolor{red}{x > 58}$

#### Explanation:

9(x−11)>17+7x

$9 x - 99 > 17 + 7 x$

$9 x - 7 x > 17 + 99$

$2 x > 116$

$x > 58$

Now, plot each graph separately and then shade the area that satisfies the inequality.

Your inequality is 9(x−11)>17+7x

The blue area represents the region in which 9(x−11)>17+7x

Check: Test a point in the coloured region.

Try ($150 , 1200$).

9(x−11)>17+7x
$9 \left(150 - 11\right) > 17 + 7 \left(150\right)$
9×139>17+1050
$1251 > 1067$
∴ TRUE