Question

Which of these ordered pairs is a solution to the linear inequality y ≤ 2x +5

(-2,4)
(-2,5)
(0,5)
(1,9)

Answer 1

y ≤ 2x + 5

Each ordered pair has the format (x, y)

If we plug in the 3rd ordered pair, (0, 5) (which says that x=0 and y=5)

5 ≤ 2(0) + 5

We can substitute in for x and y. We get the following inequality.
5 ≤ 5 (5 is less than or equal to 5)

Therefore, the ordered pair that satisfies the inequality is (0,5) because the statement 5 is less than or equal to 5 is true.