# How do you graph and solve |2x+1|-5>7?

May 6, 2018

See explanation

#### Explanation:

Given: $| 2 x + 1 | - 5 > 7$

$| 2 x + 1 | > 7$

Consider the case: $2 x + 1 = 7$ for the CUT OFF POINT

$2 x = 6$

$x = \frac{6}{3} = 2$ as the curt of point

So we need all those value of $x$ that are less than $- 2$ and greater than $+ 2$. This is drawn as:

But the plot of $| 2 x + 1 | > 12$ is: