Question

. Which of the following points are solutions of 5y – 2x ≤ 9?A. both (–3, 1/5), and (5, –17.6)B. (5, –17.6) onlyC. (–3, 1/5) onlyD. both (0, 2) and (5, –17.6)

Answer 1

we have the inequality

5y – 2x ≤ 9

Remember that

If an ordered pair is a solution to the inequality, then the ordered pair must satisfy the inequality

so

Verify each ordered pair

1) (–3, 1/5)

substitute in the given inequality

5(1/5) – 2(-3)x ≤ 9

1+6 ≤ 9

7 ≤ 9 -----> is true

that means ----> the ordered pair is a solution

2) (5, –17.6)

5(-17.6) – 2(5) ≤ 9

-88-10 ≤ 9 ------> is true

that means ----> the ordered pair is a solution

3) (0, 2)

5(2) – 2(0) ≤ 9

10 ≤ 9 -----> is not true

The ordered pair is not a solution

therefore

The answer is

A. both (–3, 1/5), and (5, –17.6)