Question

How will the solution of the system y > 2x + 2/3 and y <

2x + 1/3 change if the inequality sign on both inequalities
is reversed to y < 2x + 2/3 and
y> 2x + 1/3?

Answer 1

The shaded area would reverse on both inequalities.

The graphs do not overlap until the signs are reversed.

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Explanation:

edge 2021

Answer 2

The solution will go from NO common solutions to infinite solutions between the 2 parallel lines.

Explanation:

In the original case all solutions for equation 1 are above line 1 (y >) and all solutions for equation 2 are below line 2 (y <), so there is no overlap and therefore no common solutions. When reversed, all solutions for line 1 are below line 1 and all solutions for line 2 are above line 2. So the overlap is everything between the two lines.