Question

Which graph represents the solution set to the following system of linear inequalities? y<2x + 7, y> 1/3x- 2 please help

Answer 1

Answer: See below

Step-by-step explanation:

Since you did not include pictures of the graph options, I will try my best to help you. I am sure you know what the graphs of y=2x+7 and y=1/3x-2 looks like.

The tricky part is to know what the shading is.

For y<2x+7, we know the graph will have a dotted line because this is < and not ≤. If it was ≤, it will be a solid line. Now that we know the line will be a dotted line, we can figure out which way the shading goes. Since y is less than 2x+7, we know the shading will be under the dotted line, where y is smaller.

For y>1/3x-2, we know the graph will have a dotted line because it is >, not ≥. If it was ≥, it will be a solid line. Since y is greater than 1/3x-2, you know the shading will be above the line.

The point where the lines intersect is (-5.4, -3.8). That is the solution. There are actually more solutions. The solutions are the points located in the section where there is double shading, meaning the shading from both equations cross over.