# How do you solve, graph and write set-builder notation for the answer #0.6x + 12 + x >2x + 6 - 0.5x#?

##### 1 Answer

Oct 2, 2017

#### Answer:

See below.

#### Explanation:

By addition and subtraction move all terms of

Subtract

Collect terms:

Divide by 0.1

To graph:

From

We can the plot the line

This will give us a boundary line between the included and excluded regions. This will have a dashed line because it is a less than and not a less than or equal to. The shaded region will be to the right of this .i.e. where

graph:

graph{x > -60 [-80, 10, -5, 5]}