Question

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y < 2x − 7
y ≥ -1/2x + 3

Is the point (3, −7) included in the solution area for the system? Justify your answer mathematically.

Answer 1

No, it is not in the solution area for the system.

The point only works in one of the inequalities.

It doesn't work in the inequality: y > -1/2x+ 3

We can put it in to test it:

-7 > (-1/2)3 + 3
-7 > -1.5 + 3
-7 > 1.5 This is a false statement, therefore it is not part of the solution.