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Mathematics 19 Online
OpenStudy (haaaow):

im super confused on an absolute value assignment

OpenStudy (haaaow):

i feel like i screwed my assignment up, so i need help redoing it because i'm confused

OpenStudy (haaaow):

@Teddyiswatshecallsme

OpenStudy (haaaow):

@sammixboo

OpenStudy (haaaow):

@sweetburger

OpenStudy (haaaow):

i probably need help on the 1st since i wanna see how i can do on the rest of the assignment, i do need help though

OpenStudy (haaaow):

i can do the linear lines, i just don't know what eqauations i should put in, i know the ones i put were wrong.

OpenStudy (haaaow):

@zepdrix

OpenStudy (haaaow):

@mathmale

OpenStudy (haaaow):

@satellite73 @IrishBoy123

OpenStudy (haaaow):

yo who gave me that medal?

satellite73 (satellite73):

which one?? i see a bunch

alones (alones):

I thought she need the help with the first one

OpenStudy (haaaow):

i'll just put it here: 2. Another machine is used to make 10 mm long bolts. For this machine, the bolts must have an error of less than 0.1 mm to be accepted. This can be represented by |x – 10| < 0.1. a. Write this inequality as a compound inequality without absolute value bars. i need help making a compound inequality without absolute value bars

satellite73 (satellite73):

oh ok

OpenStudy (mathmale):

Your first problem was done well, except that you haven't included units of measurement as required. Bolt length can be anywhere between 11.8 mm and 12.2 mm.

satellite73 (satellite73):

\[|x-a|<p\iff -p<x-a<p\]

OpenStudy (haaaow):

oh so i should 11.8 mm for my 1st?

OpenStudy (mathmale):

You could write an abs. val. inequality as follows, using 12 mm as the nominal length: See the ineq. that satellite has just typed in for you. What do you mean by "should 11.8 mm for my 1st?" Unclear.

OpenStudy (haaaow):

i meant as if i put the measurement.] instead of just 11.8 it should be 11.8 mm

OpenStudy (haaaow):

i'm re looking satellite's equation, i don't know what terms and letters are which though

OpenStudy (haaaow):

wait, i'm starting to get it now. |x−a|<p is |x – 10| < 0.1. ima try to associate the terms with numbers and other things like that

OpenStudy (mathmale):

There are several ways to write this inequality, which confuses matters a bit. The expected, standard length of this bolt is 12 mm, but a length of 11.8 or one of 12.2 mm, or anywhere in between, would be acceptable. You could write |x-12|<0.2. That takes care of all y ou were supposed to do. If this is unclear, pls ask questions.

OpenStudy (haaaow):

i did some looking, and it looks like 0.1<x−10<0.1 is where sattelite was getting at

OpenStudy (haaaow):

correct me if i'm wrong

OpenStudy (haaaow):

i still want to know why i have a medal

satellite73 (satellite73):

almost you are missing a minus sign

OpenStudy (haaaow):

oh dang

satellite73 (satellite73):

\[\huge |x-a|<p\iff \color{red}-p<x-a<p\]

OpenStudy (haaaow):

oh dang i actually had that, i just forgot to copy the minus sign with the equation on my word doc.

OpenStudy (haaaow):

well it's actually 10 instead of 12 now but yeah

OpenStudy (haaaow):

is the value x 10.99?

OpenStudy (haaaow):

it looks like the solution is 10.99

OpenStudy (haaaow):

I'm confused on solving the inequality @satellite73

satellite73 (satellite73):

which one are you doing?

OpenStudy (haaaow):

the 2nd problem

satellite73 (satellite73):

\[|x – 10| < 0.1.\] \[-0.1<x-10<0.1\] add 10 all the way across

OpenStudy (haaaow):

oh so it's not 10.99 i'm confused because shouldn't it be between 10.99 and 9.99

satellite73 (satellite73):

not the way i read it, no

OpenStudy (haaaow):

because it shoeuld have an error of less than 0.1 mm, so 10.99 is the maximum and 9.99 is the minimum

satellite73 (satellite73):

i get \[9.9<x<10.1\]

OpenStudy (haaaow):

oh, i see it now

OpenStudy (haaaow):

so the solution is 10 then?

OpenStudy (haaaow):

idk, i'll see how it goes.

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