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do you know how to solve \[|t-24|\le30\] for \(t\)?
would you subtract 24 from 30?
you start with \[-30\le t-24\le 30\] then ADD \(24\) all the way across
what do you get?
t less than or equal to 50?
i mean 54
that is what you get on the right how about on the left?
do you always have to put the -30 there on the left when you are doing that to inequalities?
just for future reference
you don't always to do anything, but if you have \[|t-a|
oh ok so that goes with all inequalities?
all that look like the one you have, yes
inequalities with absolute value and "less than"
ok so i would have -6 less than or equal to T less than or equal to 54 ?
@Vocaloid could you help?
yes, -6 <= t <= 54 now look at your answer choices and see which t value does not fit the inequality
-5? or would it be 0?
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?
im not sure i sometimes forget if -10 is greater tham -6 or not....
remember the rule for negative numbers|dw:1443320186749:dw|
actually you are not alone it was not until fairly recently that mathematicians ordered the negative numbers so that \(-5<-4\) for example
oh ok thanks so I'm still a bit confused though on which one would fit that mold
so wouldn't it be -5???
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)
oh yeah i forgot that part...
so it would be 54!
54 isn't one of the answer choices
no no no sorry
i typed wrong instead of 24, its 54 for one of the answer choices
well, 24 isn't the answer either 24 is greater than -6 and less than 54 keep trying :)
yup, good! -10 is less than -6 so it doesn't fit the inequality
the answer is -10
oh darn no its -10
thanks that was a long process, thanks! Could i have help on another if i make a new question please?
sure, tag me if you'd like
okay-thanks ill be making one now