Question

PLEASE, can you help me with this? I have no idea what to do.


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

y is less then or equal to x - 5
y is greater then or equal to -x - 4
1. (-5, 2)

2. (5, -2)

3. (-5, -2)
4. (5, 2)

Answer 1

Could you clarify the inequalities? Right now there aren't any symbols so it's hard to tell which ordered pair will be a solution.

Answer 2

Woops. Sorry. Didn't realize there weren't any there.

Answer 3

let's start with the first one:
\[y \le x-5\]
how i would go about this problem is just to plug in the answers, and eliminate the wrong choices.

i'll try answer 2 first (5, -2)
that would be
\[-2 \le 5-5\] or just \[-2 \le 0\]
is that true? yes, which means this could be our answer choice.

let's try it with the second equation now
\[y \ge -x-4\]
so just like the first problem, we'll plug in (5, -2)
\[-2\ge -5-4\] or just \[-2 \ge -9\]
which is true, so that means that answer choice 3. (5, -2) is your answer.