# How do you solve and graph #abs(2c-1)<=7#?

##### 1 Answer

#### Explanation:

Consider a general inequality with the absolute value:

By definition this is equivalent to solving the following inequalities:

In our specific case this means:

So let's solve the first one:

Now the second:

This is the graph of the first inequality:

graph{x <= 4 [-6.244, 6.243, -3.12, 3.123]}

And this of the second:

graph{x => - 3 [-4.163, 1.997, -1.455, 1.624]}

So the solution and the final graph are the common part of the two inequalities: