given the inequalities y<2x-6 and y<= 4x+5 which is the point (-4,7) a solution to?

Question

please show work/explain

Answer 1

Plug in the values of the given coordinate point into each inequality.

 

y < 2x - 6                                     y ≤ 4x + 5

 

7 < 2(-4) - 6                                 7 ≤ 4(-4) + 5

 

7 < -8 - 6                                     7 ≤ -16 + 5

 

7 < -14                                        7 ≤ -11

 

 

Being that none of the inequalities are true, the point is not a solution to any of them.