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http://prntscr.com/93ascg
http://prntscr.com/93asgc

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http://prntscr.com/93ascg
http://prntscr.com/93asgc

anonymous · Answer

@Directrix

anonymous · Answer

In simple terms, the question is asking which point is in the shaded area.

anonymous · Answer

would it be b? (6,3)

usukidoll · Answer

the shaded area is the solution to the inequality. so any point not in the shaded area shouldn't be considered a solution.

anonymous · Answer

c and d arent

anonymous · Answer

@Jamierox4ev3r

jamierox4ev3r · Answer

remember, there are some rules and regulations for this

jamierox4ev3r · Answer

For the first one, any point that falls inside the shaded area is a solution for the inequalities

anonymous · Answer

ok

jamierox4ev3r · Answer

also, any point that falls on a solid line, as long as it borders the shaded area, is also acceptable so let's eliminate answers together for the first one.

jamierox4ev3r · Answer

First, let's talk about A. Can we eliminate that?

anonymous · Answer

i believe so

jamierox4ev3r · Answer

You are correct! Can you tell me why?

anonymous · Answer

because there is only one six that falls in the shaded area, and the other positive six is not in the shaded area or on the solid line

jamierox4ev3r · Answer

nice! So we know that A cannot be the answer?

How about B? what are you opinions on that?

anonymous · Answer

I believe B may be correct

jamierox4ev3r · Answer

hmm. you may want to think again. While this point lies on a solid line, is that line bordering the shaded area?

anonymous · Answer

no its not

jamierox4ev3r · Answer

right. Therefore, it doesn't fall into the solution set for both equations, and is eliminated as a possible answer choice.
Does that make sense to you?

anonymous · Answer

yes it does

jamierox4ev3r · Answer

Nice! So what are your opinions on C?

anonymous · Answer

well for c -2 does fall on the solid line

jamierox4ev3r · Answer

(0,-2)? I'm pretty sure that it falls on a dotted line.

anonymous · Answer

oops my mistake, i got mixed u with the lines

anonymous · Answer

up*

jamierox4ev3r · Answer

it's fine, as long as you realize why that isn't correct. Now we know that D is correct, since we eliminated the others. But can you tell me why?

anonymous · Answer

could you explain cause im not to sure of to why it is D

anonymous · Answer

I know that 4 is in the shaded area but not so sure about -6

jamierox4ev3r · Answer

if you locate the point (-6,4), you'll see that it is in the first quadrant. think, -6 to the left, 4 up. And that falls perfectly in the shaded region|dw:1447665521469:dw|

anonymous · Answer

I just realized -6 is also in the shaded area

jamierox4ev3r · Answer

make sure that you know the differences though! 
(-6,4) is in the shaded region
but 
(4,-6) is not. Be sure to check for y variables and x variables when you are given a coordinate.

anonymous · Answer

I'll be sure to remember

jamierox4ev3r · Answer

alright. So the answer is D. for the first one. Now, let's discuss the second one, and use the same method as before

jamierox4ev3r · Answer

the point of (0,0) falls right in the origin. So what lines does that touch?

anonymous · Answer

it touches the dotted line

jamierox4ev3r · Answer

correct. Based from this information, which answer can we eliminate?

jamierox4ev3r · Answer

@kittymeow101

anonymous · Answer

would it be B?

jamierox4ev3r · Answer

Close, but not quite. If you look closely, it does satisfy more than one equality. However it does not satisfy the y < -x inequality, so therefore, (0,0) is not a part of the solution set

anonymous · Answer

so it would be C