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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
It would have been nice if u could of not gotten the answers off google.
So, buddy, it was already solved
you have to make "x" isolate. so u can do that by adding 3 on both sides.
Can one of u guys help with the graphs?
Lemme explain, according to the code of conduct I can copy and answer, but I also need the source and hence I'd Given
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
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Sir, did you get that
it dont help
|dw:1363695036018:dw| got this so far?
Sir, the process is, 1) Click on the Link, 2) See the graph, 3) Investigate it, 4) Ask Doubts, 5) Be free, Check it!
now make a circle at the value we found.. |dw:1363695185074:dw|
Ok, lemme try the next one
sure.. if still any confusion just ask me out
Ok, u tell me if it is wrong
Wait imma do #3 bc im not sure wut to do for #2
yup. perfectly fine.
what's hard with 2?
it has the line under the > so idk if tht changes anything
yes it changed something very little.. you have to put a dot rather then a circle.
but a bold dot.
oh ok lemme try it then
wait im confused wince it is +6 would i go to 5 next or 7
well answer u got is x greater then equal to +6 so u have to point the arrow towards the greater values then 6.
Is that right?
yes it is right.
hmm which question is this one?
no it should be 3
on the graph shouldnt it?
for question for u got x< -3 so arrow should point towards the value less then -3
oops for question 4
damn sorry x<3
oh lemme redraw it
yup .. correct .. this was #4
yup correct bro..
tyvm now 2 more things if u dont mind sir
not at all.
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.
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?
Yes tht fine
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..
we shade to left when x< (any value) |dw:1363697010246:dw| like this for #4
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.
got it bro?
1 more q.
Describe a real life scenario where inequalities are used and state the inequality.
So the senario would be: Teens in florida have to be at least 15 or older to get their learners permit to drive.
But i am not totally sure wut the graph would look like.
hmm well if we say x is the age.. for learner permit x >(line under) 15
yes this is the in eguality
now draw the graph which is a number line and label it
wut u mean?
umm .. i mean draw a number line.. just the line with numbers u need.?
just remember if there is an equal sign in the inequality, it has a closed circle.
ohh lol we dont need to graph this question.. or do we?
we can if you want to....it is good practice
I believe we dont
ok then just write inequality with the scenario you told.. and that's it i guess
ok ty soooo very much how can i ever repay u?
hahah bro.. lol u don't need to repay at all :)
Ok that was alot of work i will write u a testimonial