dmezzullo
Please solve each of the inequalities below and graph the solution on a number line.
x – 3 > –9
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Dr.Professor
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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
Dr.Professor
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@dmezzullo
dmezzullo
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It would have been nice if u could of not gotten the answers off google.
Dr.Professor
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So, buddy, it was already solved
nubeer
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you have to make "x" isolate.
so u can do that by adding 3 on both sides.
dmezzullo
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Can one of u guys help with the graphs?
Dr.Professor
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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
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sure.
nubeer
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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
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Dr.Professor
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@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
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Which url?
Dr.Professor
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Sir, did you get that
dmezzullo
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it dont help
nubeer
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4
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nubeer
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got this so far?
Dr.Professor
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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
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4
now make a circle at the value we found..
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nubeer
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dmezzullo
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Ok, lemme try the next one
nubeer
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sure.. if still any confusion just ask me out
dmezzullo
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Ok, u tell me if it is wrong
nubeer
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4
ok
dmezzullo
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Wait imma do #3 bc im not sure wut to do for #2
dmezzullo
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nubeer
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yup. perfectly fine.
nubeer
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what's hard with 2?
dmezzullo
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it has the line under the > so idk if tht changes anything
nubeer
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4
yes it changed something very little.. you have to put a dot rather then a circle.
nubeer
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but a bold dot.
dmezzullo
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oh ok lemme try it then
dmezzullo
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wait im confused wince it is +6 would i go to 5 next or 7
nubeer
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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
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ok tyvm
dmezzullo
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dmezzullo
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Is that right?
nubeer
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yes it is right.
dmezzullo
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okie
dmezzullo
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nubeer
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hmm which question is this one?
dmezzullo
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#4
dmezzullo
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no it should be 3
dmezzullo
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on the graph shouldnt it?
nubeer
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4
for question for u got x< -3
so arrow should point towards the value less then -3
nubeer
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oops for question 4
nubeer
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damn sorry x<3
dmezzullo
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oh lemme redraw it
dmezzullo
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nubeer
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yup .. correct .. this was #4
dmezzullo
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nubeer
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yup correct bro..
dmezzullo
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tyvm now 2 more things if u dont mind sir
nubeer
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not at all.
dmezzullo
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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
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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
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Yes tht fine
nubeer
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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
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we shade to left when x< (any value)
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like this for #4
nubeer
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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
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got it bro?
dmezzullo
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Oh ok.
dmezzullo
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1 more q.
dmezzullo
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Describe a real life scenario where inequalities are used and state the inequality.
dmezzullo
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So the senario would be:
Teens in florida have to be at least 15 or older to get their learners permit to drive.
dmezzullo
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But i am not totally sure wut the graph would look like.
nubeer
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hmm well if we say x is the age..
for learner permit
x >(line under) 15
dmezzullo
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nubeer
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yes this is the in eguality
nubeer
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now draw the graph which is a number line and label it
dmezzullo
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wut u mean?
nubeer
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umm .. i mean draw a number line.. just the line with numbers u need.?
kelliegirl33
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just remember if there is an equal sign in the inequality, it has a closed circle.
nubeer
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ohh lol we dont need to graph this question.. or do we?
kelliegirl33
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we can if you want to....it is good practice
dmezzullo
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I believe we dont
nubeer
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ok then just write inequality with the scenario you told.. and that's it i guess
dmezzullo
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ok ty soooo very much how can i ever repay u?
kelliegirl33
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nubeer
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hahah bro.. lol u don't need to repay at all :)
dmezzullo
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Ok that was alot of work i will write u a testimonial
nubeer
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Sweet... :)