Question

Determine if each point is a solution to the inequality 2x + 2y > -10 by using the graph shown. Explain. Then justify your answer algebraically.

Answer 1

The region in the graph shows the solutions for the inequality.

If the point falls on the region, then it is a solution.

The boundary line is a broken line which means, every point on this line is NOT a solution.

a. (-3, -2), Plot this point and check with the region.

That will be :

Since the point is on the boundary, therefore, it is NOT a solution

b (3, -7), plot this point and check with the region :

Since it falls under the region, it is a solution.