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princesskenny1
princesskenny1 princesskenny1
  • 19-08-2016
  • Mathematics
Answered

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


y ≤ x − 5

y ≥ −x − 4

A(-5,2)
B(5,-2)
C(-5,-2)
D(5,2)

Verified Answer :

gmany
gmany gmany
  • 08-08-2018

A. NOT

(-5, 2) → x = -5, y = 2

y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE

B. YES

(5, -2) → x = 5, y = -2

y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE

y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE

C. NOT

(-5, -2) → x = -5, y = -2

y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE

D. NOT

(5, 2) → x = 5, y = 2

y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE

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