Determine whether each ordered pair is a solution to the inequality −7x−6y>−3.

Question

to see which of these pairs is a solution to the equation

(-7,-2)

(7,-9)

(-7,1)

(1,1)

(3,-2)

Answer 1

1st 3 are solutions

last 2 are not

just plug in each point into the inequality

-7x-6y >/= -3

for (-7,-2)

-7(-7)-6(-2)

=49+12 = 61>-3

for (7,-9)

-7(7) -6(-9)

= -49+54= 5>-3

for (-7, 1)

-7(-7)-6(1)

=49-6 =43>-3

for (1,1)

-7(1)-6(1)

=-7-6= -13<3

for (3,-2)

-7(3)-6(-2)

= -21+12 = -9<-3

Answer 2

Hi, Bailey!

This problem is asking you to plug in the x and y values and check whether they make the inequality true or not. I put the information into a table to make it easier to see.

x y -7x- 6y > -3

-7 -2 49+12 > true

7 -9 -49+54 > true

-7 1 49 - 6 > true

1 1 -7-6 > false

3 -2 -21+12 > false

I hope this helps!

Best, Karen