Question

Which of the following ordered pairs is included in the solution set of the system, y < 2 - 2x and y > 2x -3?

A. (0, 0)
B. (3, 4)
C. (4, 0)
D. No Solution

Answer 1

If (0,0) was a solution, then x = 0 and y = 0 would satisfy y < 2 - 2x, let's see if it does


y < 2 - 2x

0 < 2 - 2(0)

0 < 2 - 0

0 < 2

So that's true, let's check the other inequality

y > 2x -3

0 > 2(0) -3

0 > 0 - 3

0 > -3

and that's true. So (0,0) is in the solution set.


Follow the same basic steps to check the other potential solutions.

Answer 2

thank you!

Answer 3

you're welcome