Calculus help...

Question

Calculus help...

yanasidlinskiy · Answer

$$1x+3<2x+8<3x+10$$

anonymous · Answer

OK...let me know what you get...i'll work it on my end too :)

yanasidlinskiy · Answer

Alright..:)

anonymous · Answer

ooo....this one has a tricky part ;) be careful....

yanasidlinskiy · Answer

I got for the first part.....$$x <-5$$
Is that right?

anonymous · Answer

i think you have it backwards...

yanasidlinskiy · Answer

Oh...lol...I didn't have it backwards on my paper though...I just switched them around when I typed it in..$$-5<x$$

anonymous · Answer

lol...

anonymous · Answer

the second half has a common misstep...watch out for it...

yanasidlinskiy · Answer

Ok.. That is correct for the first part right? I can go on to the second part...And yes I'll try my best...I got you here anyways...

anonymous · Answer

first part is correct

yanasidlinskiy · Answer

Ok. I got $$-2<x$$

anonymous · Answer

haha...you avoided the negative x term? good...that is correct.

anonymous · Answer

now putting these together is a little bit different frrom the other example...

yanasidlinskiy · Answer

Ok...I knew it....umm...ok..let me try to put them together and tell me if i got it right. Ok?

anonymous · Answer

ok

yanasidlinskiy · Answer

Ok....i really don't know...just show me because you got good explanations:)

anonymous · Answer

lol...the best way to show you would be to ask a seemingly strange question...do you have access to either two different colored pencils, pens, or crayons?

anonymous · Answer

just go with me :)

yanasidlinskiy · Answer

Go where?? lol??

anonymous · Answer

trust me...:) do you have different colors you can use?

yanasidlinskiy · Answer

yea...

anonymous · Answer

ok...draw a number line that has -5 on the left all the way to 0 on the right...

yanasidlinskiy · Answer

Ok.

yanasidlinskiy · Answer

got that..

anonymous · Answer

ok...so the answers you got were $$x>-5$$ and $$x>-2$$
you see that?

yanasidlinskiy · Answer

Yes. So i would add those since they are same signs right?

anonymous · Answer

no...we're going to plot them...on the number line...each one in a different color

yanasidlinskiy · Answer

Ok.

anonymous · Answer

and then look at how the two colors overlap...

anonymous · Answer

the area betwen -5 and -2 only has one color...

anonymous · Answer

but the area greater than -2 has both colors...

yanasidlinskiy · Answer

Ok. Sounds clear.

anonymous · Answer

so the final answer is *just* x > -2

anonymous · Answer

since that is the only area that is overlapped by both x > -5 *and* x > -2

anonymous · Answer

now...i would recommend you go back to the last problem and plot the two solutions...and see that the overlapped area on the number line is between 4 and 7... :)

yanasidlinskiy · Answer

Got it!!:) Yes I see that!:) Thanx for your help!!:)  ....again....

anonymous · Answer

anytime... :)

yanasidlinskiy · Answer

Has 30 minutes passed yet?? lol?? :)

anonymous · Answer

almost...i've got about 8 more minutes...

yanasidlinskiy · Answer

Umm..I guess you gotta go..So i'll just ask someone else for help....I don't want to hold you back becuz of me....Thanx Again!!!!:) I appreciate it!!!!:)