WILL FAN AND MEDAL!!
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4

(-5, 2)
(5, -2)
(-5, -2)
(5, 2)

Question

WILL FAN AND MEDAL!!
Which of the following points lie in the solution set to the following system of inequalities?

y less than or greater to x - 5
y greater than or equal to -x - 4

(-5, 2)
 (5, -2)
 (-5, -2)
 (5, 2)

igreen · Answer

$y \le x - 5$

$y \ge -x - 4$

We can plug the points in and see which one fits both of these inequalities.

anonymous · Answer

$$-5 \le 2 - 5?$$

igreen · Answer

No, you got the 'y' and 'x' values mixed up

anonymous · Answer

oops put in x for y

igreen · Answer

Let's try (5, -2).

igreen · Answer

$y \le x - 5$

$-2 \le 5 - 5$

Simplify

anonymous · Answer

I'm sorry I'm really confused on this

igreen · Answer

Just subtract 5 - 5 and see if it's true.

igreen · Answer

5 - 5 = ?

anonymous · Answer

attachment

igreen · Answer

Yes, so we have:

$-2 \le 0$

Is -2 less than or equal to 0?

anonymous · Answer

less than

igreen · Answer

Yes, so this is true.

igreen · Answer

Now let's plug in (5, -2) into the 2nd inequality to see if that fits also.

$y \ge -x - 4$

$-2 \ge -5 - 4$

Again, subtract -5 - 4

anonymous · Answer

-9

igreen · Answer

Yes, now we have:

$-2 \ge -9$

Is -2 greater than -9?

anonymous · Answer

yes :)

igreen · Answer

Yes, so (5, -2) fits both of the inequalities, so it is our answer.

anonymous · Answer

Thank you so much I'm understanding this

igreen · Answer

Good to know :)

anonymous · Answer

I have a's in all subjects except for math so thanks you've been a lifesaver <3

igreen · Answer

No problem, I always have A's in all my courses, but I hate all of them except for Math :P