Please solve each of the inequalities below and graph the solution on a number line.
x – 3 > –9

- dmezzullo

Please solve each of the inequalities below and graph the solution on a number line.
x – 3 > –9

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- schrodinger

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- anonymous

x > -6
2. –2x + 1 ≤ –11
-2x ≤ -12
x ≥ 6
3. 10 < –3x + 1
-3x + 1 > 10
-3x > 9
x < -3
4. 2(x + 5) > 8x – 8
2x + 10 > 8x - 8
8x - 8 < 2x + 10
6x < 18
x < 3
5. –2(x – 3) ≥ 5 – (x + 3)
-2x + 6 ≥ 5 - x - 3
4 ≥ x
x ≥ 4

- anonymous

http://answers.yahoo.com/question/index?qid=20100804062558AA5y3Hg

- anonymous

@dmezzullo

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## More answers

- dmezzullo

It would have been nice if u could of not gotten the answers off google.

- anonymous

So, buddy, it was already solved

- nubeer

you have to make "x" isolate.
so u can do that by adding 3 on both sides.

- dmezzullo

Can one of u guys help with the graphs?

- anonymous

Lemme explain, according to the code of conduct I can copy and answer, but I also need the source and hence I'd Given

- nubeer

sure.

- anonymous

http://www.google.com/imgres?imgurl=http://hotmath.com/images/gt/lessons/genericalg1/clip_image001_0001.gif&imgrefurl=http://hotmath.com/help/gt/genericalg1/section_2_3.html&h=250&w=250&sz=5&tbnid=vNAHa4r2S1p7FM:&tbnh=91&tbnw=91&zoom=1&usg=__N632LAf90YeS36uz7t17q2QA5bU=&docid=TuZPta2_wDBt3M&hl=en&sa=X&ei=_1NIUdOCO4nprQem-oGADQ&ved=0CHAQ9QEwBw&dur=771

- nubeer

when u solve u will get x> -6, it means the value of x is greater then -6
so first you draw a number line

- dmezzullo

|dw:1363694637625:dw|

- anonymous

@dmezzullo , Sir,
Here, I've got a client, Thats you, sir I wanna say that I have pasted the URL above in th comment. Please check it and save time.
Best Wishes,
@Dr.Professor

- dmezzullo

Which url?

- anonymous

- anonymous

Sir, did you get that

- dmezzullo

it dont help

- nubeer

|dw:1363695012276:dw|

- nubeer

|dw:1363695036018:dw|
got this so far?

- anonymous

Sir, the process is,
1) Click on the Link,
2) See the graph,
3) Investigate it,
4) Ask Doubts,
5) Be free, Check it!

- nubeer

now make a circle at the value we found..
|dw:1363695185074:dw|

- nubeer

|dw:1363695217104:dw|

- dmezzullo

Ok, lemme try the next one

- nubeer

sure.. if still any confusion just ask me out

- dmezzullo

Ok, u tell me if it is wrong

- nubeer

ok

- dmezzullo

Wait imma do #3 bc im not sure wut to do for #2

- dmezzullo

|dw:1363695538390:dw|

- nubeer

yup. perfectly fine.

- nubeer

what's hard with 2?

- dmezzullo

it has the line under the > so idk if tht changes anything

- nubeer

yes it changed something very little.. you have to put a dot rather then a circle.

- nubeer

but a bold dot.

- dmezzullo

oh ok lemme try it then

- dmezzullo

wait im confused wince it is +6 would i go to 5 next or 7

- nubeer

well answer u got is x greater then equal to +6 so u have to point the arrow towards the greater values then 6.

- dmezzullo

ok tyvm

- dmezzullo

|dw:1363695994614:dw|

- dmezzullo

Is that right?

- nubeer

yes it is right.

- dmezzullo

okie

- dmezzullo

|dw:1363696204568:dw|

- nubeer

hmm which question is this one?

- dmezzullo

#4

- dmezzullo

no it should be 3

- dmezzullo

on the graph shouldnt it?

- nubeer

for question for u got x< -3
so arrow should point towards the value less then -3

- nubeer

oops for question 4

- nubeer

damn sorry x<3

- dmezzullo

oh lemme redraw it

- dmezzullo

|dw:1363696430998:dw|

- nubeer

yup .. correct .. this was #4

- dmezzullo

|dw:1363696529947:dw|

- nubeer

yup correct bro..

- dmezzullo

tyvm now 2 more things if u dont mind sir

- nubeer

not at all.

- dmezzullo

Explain, in complete sentences, when you would use an open circle or a closed circle, and when you would shade to the right or left, to graph an inequality on the number line.

- nubeer

hmm well bro i can tell u in simple words or explain u in easy words .. so u just have to put urself in proper sentences .. is that ok?

- dmezzullo

Yes tht fine

- nubeer

ok first.. open circle is when we get < or > sign in our final answer.. same like in question #1 and closed circle when we get answer < or > having lines under, as u can see in the answer of #2 question..

- nubeer

we shade to left when x< (any value)
|dw:1363697010246:dw|
like this for #4

- nubeer

and we shade towards right when we get x> (any value)
for example if x> 6
we will shade all the part forward from the point 6.

- nubeer

got it bro?

- dmezzullo

Oh ok.

- dmezzullo

1 more q.

- dmezzullo

Describe a real life scenario where inequalities are used and state the inequality.

- dmezzullo

So the senario would be:
Teens in florida have to be at least 15 or older to get their learners permit to drive.

- dmezzullo

But i am not totally sure wut the graph would look like.

- nubeer

hmm well if we say x is the age..
for learner permit
x >(line under) 15

- dmezzullo

|dw:1363697462126:dw|

- nubeer

yes this is the in eguality

- nubeer

now draw the graph which is a number line and label it

- dmezzullo

wut u mean?

- nubeer

umm .. i mean draw a number line.. just the line with numbers u need.?

- anonymous

just remember if there is an equal sign in the inequality, it has a closed circle.

- nubeer

ohh lol we dont need to graph this question.. or do we?

- anonymous

we can if you want to....it is good practice

- dmezzullo

I believe we dont

- nubeer

ok then just write inequality with the scenario you told.. and that's it i guess

- dmezzullo

ok ty soooo very much how can i ever repay u?

- anonymous

|dw:1363697698821:dw|

- nubeer

hahah bro.. lol u don't need to repay at all :)

- dmezzullo

Ok that was alot of work i will write u a testimonial

- nubeer

Sweet... :)

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