Question

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

Answer 1

Hey!

----------------------------------------------------

Substitute with (−1, −1)

4x + y > −6

4(-1) + (-1) > -6

-5 + (-1) > -6

-6 > -6

TRUE

----------------------------------------------------

Substitute with (0, -9)

4x + y > −6

4(0) + (-9) > -6

0 + (-9) > -6

-9 > -6

FALSE

----------------------------------------------------

Substitute with (2, 0)

4x + y > −6

4(2) + 0 > -6

6 > -6

TRUE

----------------------------------------------------

Substitute with (4, -20)

4x + y > −6

4(4) + (-20) > -6

16 + (-20) > -6

-4 > -6

TRUE

----------------------------------------------------

Substitute with (-3, 6)

4x + y > −6

4(-3) + 6 > -6

-12 + 6 > -6

-6 > -6

FALSE

----------------------------------------------------

Hence, the answers are (2, 0), (4, -20), and (-1, -1)!

----------------------------------------------------

Hope This Helped! Good Luck!