Question

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

y x - 5
y -x - 4

(-5, 2)

(5, -2)

(-5, -2)

(5, 2)

Answer 1

Depends. Where are the inequality symbols?

Answer 2

Does Y = X - 5 or....

Answer 3

wait no the first one is less than or equal to

Answer 4

and the second one is (less than or equal to)

Answer 5

Think of X as the first number and Y as the second number in the answer.
If Y (The second number) is less than or equal to (X-5) then the first number has to be more than + 5 larger than the second.... This eliminates the first and third answers because the first numbers are smaller than the second numbers. follow me?

Answer 6

now for the rest

Answer 7

Well, If you look at the rest of that logic there, it doesnt seem possible to be any answer, Because you said the second one is (less than or equal to), so the last 2 possible answers X's are 5s which are inverted by the negitive X in the problem, then subtract 4 from the negitive 5 and you got negitive 9. This is all good but neither negitive 2 or positive 2 is lower than -9. lemmie go back and look at first part to be sure

Answer 8

Check your signs lol cause It doesnt seem to be possible the way it is described, or try typing the problem to make it more visible and clear to calcualte...

Answer 9

They can't both be less than or equal to.

Answer 10

...not if those are the only answer choices provided.

Answer 11

check out this website: http://www.algebra-class.com/images/Inequalities-symbols.gif

which symbols?

Answer 12

Since you say they're both the same, maybe they're both greater than or equal to. In which case, choice (D) contains the point that lies in both shaded regions of the two inequalities.