Graphing system of equations

Question

Which ordered pair is a solution to the following system of inequalities?

y < –x² + x

y > x² – 4

 (0, –1) 

(1, 1) 

(2, –3)

 (3, –6)

Answer 1

If an ordered pair is a solution to a system of inequalities then that ordered pair will make ALL inequalities in the system true.

For example, to test the ordered pair (3,-6) substitute 3 for x and -6 for y in both inequalities and see if you get a true statement;

-6 <? -(3)²+3

-6 <? -9+3

-6<? -6 (false)

So, (3,-6) is not a solution.

The following graph depicts the situation. Try the above suggestions then use this graph to confirm:

desmos.com/calculator/qnbauhrlbt