Question

Please help. Medal + Fan.

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

y less than or equal to x - 5
y greater than or equal to -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

plug in the points into one equation. if the point works in that equation, try it in the next equation. if it works in both equations, then that point is the answer.

Answer 2

(-5,2)
2 less than or equal to -5-5
2 less than or equal to -10
2 is not less than -10 so the point is not (-5,2)

Answer 3

let's try (-5,-2)
-2 less than or equal to -5-5
-2 less than or equal to -10
-2 is not less than or equal to -10

Answer 4

(5,-2)
-2 less than or equal to 5-5
-2 less than or equal to 0
-2 is less than 0
now let's plug it into the second equation
y greater than or equal to -x-4
-2 greater than or equal to -5-4
-2 greater than or requal to -9
-2 is greater than or equal to -9
Thus, the answer is (5,-2)

Answer 5

understand?

Answer 6

Thank you.