The temperature, t, in degrees Fahrenheit

Question

iwanttogotostanford · Answer

@jim_thompson5910

anonymous · Answer

do you know how to solve $$|t-24|\le30$$ for $t$?

iwanttogotostanford · Answer

would you subtract 24 from 30?

anonymous · Answer

no

iwanttogotostanford · Answer

or add

anonymous · Answer

you start with $$-30\le t-24\le 30$$ then ADD $24$ all the way across

iwanttogotostanford · Answer

ok

anonymous · Answer

what do you get?

iwanttogotostanford · Answer

t less than or equal to 50?

iwanttogotostanford · Answer

i mean 54

anonymous · Answer

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

iwanttogotostanford · Answer

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

iwanttogotostanford · Answer

just for future reference

anonymous · Answer

you don't always to do anything, but if you have $$|t-a|<p$$ you start with 
$$-p<t-a<p$$ like a sandwich

iwanttogotostanford · Answer

oh ok so that goes with all inequalities?

anonymous · Answer

all that look like the one  you have, yes

anonymous · Answer

inequalities with absolute value and "less than"

iwanttogotostanford · Answer

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

iwanttogotostanford · Answer

@satellite73

iwanttogotostanford · Answer

@Vocaloid could you help?

vocaloid · Answer

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

iwanttogotostanford · Answer

-5? or would it be 0?

vocaloid · Answer

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 · Answer

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

vocaloid · Answer

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

anonymous · Answer

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

iwanttogotostanford · Answer

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

iwanttogotostanford · Answer

so wouldn't it be -5???

vocaloid · Answer

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 · Answer

oh yeah i forgot that part...

iwanttogotostanford · Answer

so it would be 54!

vocaloid · Answer

54 isn't one of the answer choices

iwanttogotostanford · Answer

no no no sorry

iwanttogotostanford · Answer

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

vocaloid · Answer

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

iwanttogotostanford · Answer

-10?

vocaloid · Answer

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

vocaloid · Answer

the answer is -10

iwanttogotostanford · Answer

oh darn no its -10

iwanttogotostanford · Answer

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

vocaloid · Answer

sure, tag me if you'd like

iwanttogotostanford · Answer

okay-thanks ill be making one now