Question

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

A. (1, -5)

B. (1, 5)

C. (5, 1)

D. (-1, 5)

Answer 1

For each answer choice, plug in the coordinates and see if the inequality is true.


For example, test answer choice C (you'll test them all, I'm just picking one at random)


Test y < -3x+3

y < -3x+3

1 < -3(5)+3

1 < -15+3

1 < -12 ... which is false

So (5,1) does NOT satisfy the system since it fails to satisfy the first inequality.


Do the same for the other answer choices. Make sure to test both inequalities.

Answer 2

I'm sorry, but can you just give me the answer? 'Cause I don't get it...

Answer 3

I can't do that as it gets us nowhere

Answer 4

Where are you stuck?

Answer 5

Ugh! Everywhere. If i had the slightest idea on how to do this I wouldn't be asking...

Answer 6

The idea is to plug in the possible answers into each inequality and see which inequality results in a true inequality. This has to work with BOTH inequalities

Answer 7

Does that help a bit?

Answer 8

If not, then try graphing the system of inequalities. Then plot all the points given in the answer choices to see which one falls in the shaded region.