Question

help?

Answer 1

@agent0smith I hope u dont mind when I mention you :/

Answer 2

@agent0smith I hope u dont mind when I mention you :/

Answer 3

Fastest way is probably to do a point test, for each region.

Pick a point in each shaded region, and plug it into the two inequalities. When you find the point that is true for BOTH inequalities, that's your answer.

Answer 4

I did that and I got C did u think that would be a correct answer?

Answer 5

You should try doing the 0 method. C is not the right answer because 0 is less than -6.

Answer 6

not^

Answer 7

oh yeah ur right then my second choice would be A

Answer 8

you have to count the rise over the run between the two points and check to see if it's the same.

Answer 9

I'm clueless here can u explain step by step

Answer 10

As @agent0smith said - "Fastest way is probably to do a point test" - Although I don't agree with the rest of his post :P

First, (mentally) put an equal to sign in place of the inequality.
Because of different slopes; you can easily tell which line represents which equation.

Now take origin as the reference point (my personal favorite ;)
Origin doesn't satisfy the first inequality; but satisfies the second inequality.

Hence;
-origin lies on the wrong side of line 1 ; discarded (a) & (c)
-origin lies on the correct side of line 2 ; discarded (b)

Hence, the answer is (d)

@clara.university
Tell me if you face trouble with my line of reasoning :)

Answer 11

^er @LastDayWork , Pick a point in each shaded region, and plug it into the two inequalities. When you find the point that is true for BOTH inequalities, that's your answer.

If you pick a point INSIDE the shaded region, you just need to check it in the inequalities. All the lines are the same.

Answer 12

I think it's faster to kinda mentally plot the regions, but most students won't be able to do that mentally

Answer 13

Yea..your solution is absolutely correct. I just don't agree that it is the fastest method. :)

Answer 14

Oh, okay, nevermind, i kinda misread your post.

Answer 15

No problem :)

Answer 16

@clara.university
Did you understand my solution ??

Answer 17

no not really

Answer 18

Can you tell me after which line the solution got geeky ?? XD

Answer 19

lol I just chose the answer A because it lies on both -6 and 4 which is completely wrong I know but I forgot how to do this

Answer 20

Err.. If you could tell where you lost me; only then I'll know what else to explain.

BTW "chose"..is it a thing of past now ?? o.O

Answer 21

Why is A wrong?

Answer 22

Because the shaded region is not the correct region.

Answer 23

@j2lie
See - http://www.wolframalpha.com/input/?i=y%3C-x-6+%3B+y%3C%3D4x%2B1