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Question

anonymous · Answer

@Secret-Ninja

igreen · Answer

Just plug in (5, 2):

$y \le x - 5$

$2 \le 5 - 5$

$2 \le 0$

2 is NOT less than or equal to 0..so (5, 2) is incorrect.

secret-ninja · Answer

One thing that really comes in handy while doing this is having a graph. My teachers encourage students at our school to download a free computer app called GeoGebra. It is what I used in the last question. 

Anyhow, lets move on. if you were to plot this equation, you would get this:

igreen · Answer

$y≤x−5$

$-2≤5−5$

$-2≤0$

-2 is less than 0..now plug it in the other equation:

$-2 \ge -5 - 4$

$-2 \ge -9$

-2 is NOT greater than or equal to -9..so (5, -2) is also incorrect.

secret-ninja · Answer

You have to see which point lies in the shading of the equations. in this case, it would be  (5,-2)

anonymous · Answer

ok could you explain further :)

secret-ninja · Answer

Another method is plugging in and solving to see if it fits, as @iGreen is already doing. It will help you solve when you are not able to access a graphing program.

anonymous · Answer

oh ok cool thanks guys

secret-ninja · Answer

Your answer is B.

igreen · Answer

I think I did something wrong though.. xD But here's a graphing site that you can use online: https://www.desmos.com/calculator Just copy & paste the equations in separate boxes on the left..

secret-ninja · Answer

That site looks just like GeoGebra! Except the color, or course. Cool.

igreen · Answer

Yep..