The temperature, t, in degrees Fahrenheit

- iwanttogotostanford

The temperature, t, in degrees Fahrenheit

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- schrodinger

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- iwanttogotostanford

@jim_thompson5910

- anonymous

do you know how to solve \[|t-24|\le30\] for \(t\)?

- iwanttogotostanford

would you subtract 24 from 30?

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## More answers

- anonymous

no

- iwanttogotostanford

or add

- anonymous

you start with \[-30\le t-24\le 30\] then ADD \(24\) all the way across

- iwanttogotostanford

ok

- anonymous

what do you get?

- iwanttogotostanford

t less than or equal to 50?

- iwanttogotostanford

i mean 54

- anonymous

that is what you get on the right
how about on the left?

- iwanttogotostanford

do you always have to put the -30 there on the left when you are doing that to inequalities?

- iwanttogotostanford

just for future reference

- anonymous

you don't always to do anything, but if you have \[|t-a|

- iwanttogotostanford

oh ok so that goes with all inequalities?

- anonymous

all that look like the one you have, yes

- anonymous

inequalities with absolute value and "less than"

- iwanttogotostanford

ok so i would have
-6 less than or equal to T less than or equal to 54 ?

- iwanttogotostanford

@satellite73

- iwanttogotostanford

@Vocaloid could you help?

- Vocaloid

yes, -6 <= t <= 54
now look at your answer choices and see which t value does not fit the inequality

- iwanttogotostanford

-5? or would it be 0?

- Vocaloid

nope, not quite
-6 <= t <= 54
means that t must be between -6 and 54 (inclusive)
so which of the answer choices is NOT between -6 and 54?

- iwanttogotostanford

im not sure i sometimes forget if -10 is greater tham -6 or not....

- Vocaloid

remember the rule for negative numbers|dw:1443320186749:dw|

- anonymous

actually you are not alone
it was not until fairly recently that mathematicians ordered the negative numbers so that \(-5<-4\) for example

- iwanttogotostanford

oh ok thanks so I'm still a bit confused though on which one would fit that mold

- iwanttogotostanford

so wouldn't it be -5???

- Vocaloid

nope, not -5
-5 is greater than -6 and less than 54, so -5 fits in the inequality
(remember, we're looking for the one that DOESN'T fit the inequality)

- iwanttogotostanford

oh yeah i forgot that part...

- iwanttogotostanford

so it would be 54!

- Vocaloid

54 isn't one of the answer choices

- iwanttogotostanford

no no no sorry

- iwanttogotostanford

i typed wrong instead of 24, its 54 for one of the answer choices

- Vocaloid

well, 24 isn't the answer either
24 is greater than -6 and less than 54
keep trying :)

- iwanttogotostanford

-10?

- Vocaloid

yup, good! -10 is less than -6 so it doesn't fit the inequality

- Vocaloid

the answer is -10

- iwanttogotostanford

oh darn no its -10

- iwanttogotostanford

thanks that was a long process, thanks! Could i have help on another if i make a new question please?

- Vocaloid

sure, tag me if you'd like

- iwanttogotostanford

okay-thanks ill be making one now

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