Question

Which ordered pairs are solutions to the inequality

y−2x≤−3
?

Select each correct answer.



(1, −1)

(7, 12)

(−6, −3)

(0, −2)

(5, −3)

Answer 1

(1,-1)

(7,12)

(5,-3)

Explanation:

we know that

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

we have

`y-2x \leq -3`

Verify each case

case 1) we have

(1,-1)

substitute the value of x and the value of y in the inequality and then compare the results

`-1-2(1) \leq -3`

`-3 \leq -3` ----> is true

therefore

The ordered pair is a solution of the inequality

case 2) we have

(7,12)

substitute the value of x and the value of y in the inequality and then compare the results

`12-2(7) \leq -3`

`-12 \leq -3` ----> is true

therefore

The ordered pair is a solution of the inequality

case 3) we have

(-6,-3)

substitute the value of x and the value of y in the inequality and then compare the results

`-3-2(-6) \leq -3`

`9 \leq -3` ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 4) we have

(0,-2)

substitute the value of x and the value of y in the inequality and then compare the results

`-2-2(0) \leq -3`

`-2 \leq -3` ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 5) we have

(5,-3)

substitute the value of x and the value of y in the inequality and then compare the results

`-3-2(5) \leq -3`

`-13 \leq -3` ----> is true

therefore

The ordered pair is a solution of the inequality