Choose the point which is a solution to the system of inequalities:
y

Question

Choose the point which is a solution to the system of inequalities:
y <= –2x + 3
y < 1/2x – 4

anonymous · Answer

(4,-6)
(-4,6)
(4,6)
(-4,-6)

i thought it was the last one, but i got it wrong..? So which would it be?

zehanz · Answer

Maybe this drawing will give you an idea. Mark the difference between the lines (one has dashes...)

anonymous · Answer

i had graphed it! that's how i got (-4, -6) but i don't know which ones the answer.

zehanz · Answer

(-4, -6) is wrong, because it is ON the dashed line. That line doesn't belong to the solution...

anonymous · Answer

Ohhh, so would the answer be B. because it's inside the shaded area?

zehanz · Answer

The right answer should be in the doubly shaded area...

anonymous · Answer

Ahh, well obviously since it's not d, would A work? yeah right? cause it's <=.

zehanz · Answer

Yes, it's A, because there the line does belong to the solution.

anonymous · Answer

ohh, okay. so the solution is always the one in the double shaded area then?

zehanz · Answer

Yes, because then both inequalities are satisfied.

anonymous · Answer

Okayy, thanks so muchh(:

zehanz · Answer

YW!