Question

Which of the following points lie in the solution set to the following system of inequalities? y ≤ x − 5 y ≥ −x − 4

Answer 1

the answer choices for the question are

Explanation:

(1, 10)

(−1, 10)

(10, 1)

(1, −10)

(so it should be one of these)

Answer 2

y ≤ x - 5
y ≥-x - 4

x - 5 = -x - 4
+ x + x
2x - 5 = -4
+ 5 + 5
2x = 1
2 2
x = ¹/₂
y = x - 5
y = ¹/₂ - 5
y = -4¹/₂

The following points that lie in the solution set to the following system of inequalities is (¹/₂, -4¹/₂).