# Are there solutions to the system of inequalities described by #y<3x+5, y>=x+4#?

##### 1 Answer

Yes.

#### Explanation:

Those are linear inequalities.

Provided that the slopes of the lines are different,

Instructions:

Sketch the graph of

As soon as you are ready to put the line onto the graph, observe that you want

Shade lightly below the line.

Sketch the graph of

As soon as you are ready to put the line onto the graph, observe that you want

Shade lightly above the line.

The ultimate solution to the system consists of the sector that you

[For example, notice that (1, 6) is a solution to both inequalities.]