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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)

Respuesta :

wegnerkolmp2741o

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)

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