Question

I need help ...!! Select an ordered pair from the choices below that is a solution to the following system of inequalities:
3x – 4y > 7
y < 2x + 3
a. (3, -3)
b. No solution
c. (-4, -1)
d. (6, 3)

Answer 1

Dear Jakk,

Substitute the given answers into both inequalities. A solution would make both inequalities true.

Answer 2

how would i do that

Answer 3

For example, using the answer to (a):
3(3) - 4(-3)>7
9+12>7, so this point works in the first inequality. Now try it in the secone inequality.

Answer 4

so it would be like
3 < 2(-3) + 3
3<-6+3
right ?

Answer 5

Nope. For answer (a) x = 3 and y=-3. You substituted incorrectly.

Answer 6

-3<2(3)+3
-3<6+3

like this ?

Answer 7

Great! Looks like you found your solution. Answer (a) makes both inequalities true. I'm signing off. Good luck with your math assignment.

Answer 8

Thanks !