Question

The graph below represents the following system of inequalities. y>x-2 y>2x+2 which points (x,y) satisfies the given system of inequalities

Answer 1

The point (x,y) that satisfies the given system of inequalities is B. (-3,-1)

Which point (x,y) satisfies the given system of inequalities

From the question, we have the following parameters that can be used in our computation:

y > x - 2

y > 2x + 2

From the given graph of the system, we have solution to the system to be the shaded region

This means that all coordinates in the shaded region are the solutions to the system

From the list of options, the coordinates in the solution to the systems of inequalities graphically is B. (-3,-1)

This is so because it is in the shaded region

Question

The graph below represents the following system of inequalities

y > x - 2

y > 2x + 2

Which point (x,y) satisfies the given system of inequalities

A. (1,-6)

B. (-3,-1)

C. (-1,-6)

D. (3,-1)

Answer 2

Answer: (-4,-6) is the point that ALMOST satisfies both inequalities. IF they were equalities, this would be the solution.

The question is a bit confusing as it asks for "which points (x,y) satisfies both" It's ungrammatical, and many points (infinite within the shaded region) are solutions that SATISFY the system of inequalities!

Step-by-step explanation: Substitute the x and y-values and see if the inequalities are true.

y>x-2 -6> -4-2 -6= -6

That point (-4,-6) is on the dashed line, so not exactly a true solution; this is a question about inequalities. So y values have to be greater than-6 or x-values less than -4 for a true inequality.

y>2x+2

-6>(2)(-4) +2

-6> -8 +2

-6> -6 Again, equal, so for this y-values have to be greater than-6 and/or x-values less than -4 in order to have a true inequality.

If you have the graph to look at, you can select any points in the shaded region that satisfies both of the inequalities.