Question

Which ordered pairs are solutions to the inequality y−3x<−4?

Select each correct answer.

(4, −2)

(0, −3)

(5, 1)

(−3, 0)

(1, −1)

Answer 1

(4,-2),(5,1)Are correct

Answer 2

we will proceed to verify each case to determine the solution of the problem

we know that

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

we have

$y-3x < -4$

case A point $(4,-2)$

Substitute the values of x and y  in the inequality

$-2-3*4 < -4$

$-14 < -4$ -------> is true

therefore

the pair ordered $(4,-2)$ is a solution of the inequality

case B point $(0,-3)$

Substitute the values of x and y  in the inequality

$-3-3*0 < -4$

$-3 < -4$ -------> is false

therefore

the pair ordered $(0,-3)$ is not a solution of the inequality

case C point $(5,1)$

Substitute the values of x and y  in the inequality

$1-3*5 < -4$

$-14 < -4$ -------> is true

therefore

the pair ordered $(5,1)$ is a solution of the inequality

case D point $(-3,0)$

Substitute the values of x and y  in the inequality

$0-3*(-3) < -4$

$9 < -4$ -------> is false

therefore

the pair ordered  $(-3,0)$ is not a solution of the inequality

case E point $(1,-1)$

Substitute the values of x and y  in the inequality

$-1-3*(1) < -4$

$-4 < -4$ -------> is false

therefore

the pair ordered  $(1,-1)$ is not a solution of the inequality

therefore

the answer is

$(4,-2)$

$(5,1)$