Question

Which ordered pairs are solutions to the inequality 4x+y>−6?

Answer 1

Answer:

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

$4x+y>-6$

WE need to select an ordered pair that is solution to our inequality

Lets check with each option

(2,0) , plug in 2 for x  and 0 for y

$4x+y>-6$

$4(2)+0>-6$

$8>-6$ True

(−3, 6), plug in -3 for x  and 6 for y

$4x+y>-6$

$4(-3)+6>-6$

$-6>-6$ False

(4, −20) , plug in 4 for x  and -20 for y

$4x+y>-6$

$4(4)-20>-6$

$-4>-6$ True

(0, −9) , plug in 0 for x  and -9 for y

$4x+y>-6$

$4(0)-9>-6$

$-9>-6$ False

(-1, −1) , plug in -1 for x  and -1 for y

$4x+y>-6$

$4(-1)-1>-6$

$-5>-6$ True

Answer 2

2,0 solution

-3,6no solution

4,-20 no solution

0,-9 no solution

-1,-1  solution