Giving medals Which of the following points lie in the solution set to the following system of inequalities? y = -x - 4 (-5, 2) (5, -2) (-5, -2) (5, 2)

Question

Giving medals
Which of the following points lie in the solution set to the following system of inequalities?

y <= x - 5
y >= -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

anonymous · Answer

There are 2 ways of doing it.

One way is to plot out the 2 curves and this is the way to be encouraged.

The second way is to put the points into the 2 inequalities and see whether they satisfy the inequalities.  This is going to be repetitive especially when there are many points to be considered, in this case 4.

I will do the first way.

anonymous · Answer

Have patience, I am writing out the explanation

anonymous · Answer

Sorry, taken a bit of time.