Question

Which of the following points lie in the solution set to the following system of inequalities? (1 point)

y ≤ x − 5
y ≥ −x − 4

a
(−5, 2)

b
(5, −2)

c
(−5, −2)

d
(5, 2)

Answer 1

b. (5, -2)

Explanation:

Put the coordinates of the points to the inequalities:

y ≤ x - 5; y ≥ -x - 4

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(-5, 2) → x = -5, y = 2

2 ≤ -5 - 5

2 ≤ -10 FALSE

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(5, -2) → x = 5, y = -2

-2 ≤ 5 - 5

-2 ≤ 0 TRUE

-2 ≥ -5 - 4

-2 ≥ -9 TRUE

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(-5, -2) → x = -5, y = -2

-2 ≤ - 5 - 5

-2 ≤ -10 FALSE

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(5, 2) → x = 5, y = 2

2 ≤ 5 - 5

2 ≤ 0 FALSE