Select the inequality that corresponds to the given graph.

Question

dmezzullo · Answer

5x + 7 greater than or equal to 2 and 10x less than or greater to 30

6x + 7 greater than or equal to 25 or 2x - 8 < -4

4x + 10 less than or greater to 6 or 5x - 6 greater than or equal to 14

37 less than or greater to 8x - 3 less than or greater to 61

zehanz · Answer

It is the segment from 5 to 8, so we have to look for these numbers.
Let's try the first: 5x+7 >=2 and other stuff...
To solve it, we have to subtract 7:

5x >= -5

Then to get x, we need to divide by 5:

x >= -5

Whatever the rest op this one, -5 is not what we are looking for.

So: try to do it this way with the other options, until you have success!!

zehanz · Answer

Oops, typo: after dividing by 5, we get: x >= -1.
Also not what we need!

dmezzullo · Answer

@terryluce06

dmezzullo · Answer

Hey im trying to be rude to u guys or anything, but i understand it alot better when @ParthKohli explains it.

anonymous · Answer

5x + 7 >=2
5x >= 2 - 7
5x >= 5
x >=1 
This one won't work
6x + 7 >= 25
6x >= 25 - 7
6x >= 18
x >= 3
This one won't work

you can try the other two....I have already eliminated these.  The answer has to be between 5 and 8.Do you understand how I did this ???

anonymous · Answer

oops the first one is a -1...sorry

dmezzullo · Answer

i understand how u did @kelliegirl33

anonymous · Answer

try the nest two...

anonymous · Answer

next two....what is wrong with me this morning

dmezzullo · Answer

I think it would have to be D.

parthkohli · Answer

Aw, I'm flattered. Do you know how to solve all of these inequalities?

5x + 7 greater than or equal to 2
10x less than or greater to 30
6x + 7 greater than or equal to 25
2x - 8 < -4
37 less than or greater to 8x - 3 less than or greater to 61

zehanz · Answer

If you look at the two options that are left, chances are  you can tell which one it is, just by remembering you need the numbers 5 and 8...

dmezzullo · Answer

think it has to be D.

zehanz · Answer

COuld you explain why you think it is D?

dmezzullo · Answer

Be cause u would add 3 to both sides and get 40 then divde da by 8 and get 5

zehanz · Answer

Right! No problem!

dmezzullo · Answer

Then

dmezzullo · Answer

Do u want the rest?

zehanz · Answer

Let's hear it...

dmezzullo · Answer

Ok 1 sec

parthkohli · Answer

Anyway, how I first thought of it was that you have $5\le x \le 8$ so you wanna have a choice which looks like that.

anonymous · Answer

Way to go dmezzulo....

dmezzullo · Answer

then u would add 3 to 61 and divide 8 by 64 and get 8

dmezzullo · Answer

So therefore that is y i think it is D.

parthkohli · Answer

You wanna have a choice where the unknown is said to be more than something and less than something... so D is right

dmezzullo · Answer

tyvm guys (:

zehanz · Answer

True!

I would write the inequality as:

37 <= 8x - 3 <= 61 

Then you can to the adding with 3 at all three sides the same time:

40 <=8x <= 64

Now divide everything by 8:

5 <= x <= 8

parthkohli · Answer

I hope you see where I am trying to get :-)

dmezzullo · Answer

Ya i am, i have another one im gonna do it on my own and ill chech the answer

parthkohli · Answer

cool stuff man

anonymous · Answer

your right dmezzullo....parthKohli is good :)

zehanz · Answer

You can do it!