Math question : worth 45 pts 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)

y ≤ x − 5

y ≥ −x − 4

This is a check and see type of problem.

if x=5

y ≤ 5 − 5      y≤ 0    

y ≥ −5 − 4     y ≥-9

-9≤ y  ≤ 0

-2 works   so (5,-2) is a solution

if x= -5

y ≤ -5 − 5      y≤ -10    

y ≥ 5 − 4     y ≥1

no solution

Choice B (5,-2)

right

step-by-step explanation:

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3