Question

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

y ≤ x − 5
y ≤ −x − 4

(1, 10)
(−1, 10)
(10, 1)
(1, −10)

Answer 1

The answer is (1, -10) because:

y ≤ x − 5
y ≤ −x − 4

-10 ≤ 1-5 which is:
-10 ≤ -4 (in negative numbers, the smaller the number is, the higher it is)

-10 ≤ -1-4 which is:
-10 ≤ -5 ( -5 is greater than -10)

Answer 2

Thank you.

Answer 3

You're welcome!