Evaluate | -4 - 10 |
This breaks into two separate expressions: -4 - 10 and -4 + 10 Can you simplify those? @kyleighdancer
how loll its modulus
-4-10 and convert this ans to positivethat is remove negativesign from final ans
treat the | | as parentheses and do what is inside first. what is -4 - 10?
-6
@iGreen
6
Yes that's the answer to the first one. What's -4 - 10? @kyleighdancer
-14
so for |-4-10|=6
Right, so the answers are -14 and 6.
thank you so much! you have helped me so much! i finally understand!
no no no......
|-14|=14
we have only integer here ...so ans will be only 14
|x-2|= \[\pm(x-2)\]
ans willbe 14 only
negative! there is only one answer! You do not split that up like @iGreen suggests. -4-10 = -14 Anything that asks for the absolute value is merely asking "How far is this from 0". how far is -14 from 0? remember there are no negative distances.
yeah @pgpilot if number are only there we dont change the sign ..just remove the negative from final
@iGreen you should not be offering assistance as you clearly don't understand what is being asked nor how to approach!
agree with u |-14|=14
Oh..my bad that's only for when there's an equal sign.
loll not ur bad ..just a silly mistake
@pgpilot326 It was a mistake, that doesn't mean I didn't understand it..
no, not true even if it were x= |-4 - 10| the answer would still only be x = 14
Yes, they're correct. You just subtract -4 - 10, which gives you -14, and the absolute value signs change it to positive 14. @kyleighdancer
now if it were something like |x-4|=10, then you would get x = -6 and x = 14 as answers.
loll u understood i know that
@pgpilot326 he gave ans in your Q's contest
*context
I already said that. @pgpilot326
the thing is, this person may leave with a very flawed understanding of this and that is not the goal of this site. iGreen needs to be much more careful!!!
okay so in the inside of the |.| you change all the - to + making it a +14
anytime you have an absolute value, evaluate what is inside first then ignore the sign. it's exactly like distance. i live in san diego and l.a. is about 100 miles north and ensenada is about 100 miles south. the north and south are like the sign (+ or -). but when someone asks how far either is away, the answer is just 100 miles.
the sign is like direction and the number without the sign is how far. absolute value is asking "how far", not "how far and in what direction".
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