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Mathematics 13 Online
OpenStudy (anonymous):

Solve |x| + 7 < 4. {x | x < -11 or x > -3} {x | -3 < x < 3} Ø

OpenStudy (agent0smith):

First you have to get the |x| alone... so subtract 7 from both sides

OpenStudy (anonymous):

add -7 to both side & you will get x !

OpenStudy (anonymous):

okay den what u do

OpenStudy (agent0smith):

Well what do you have now? And remember that an absolute value must always be positive, can't be negative (ie it can't be less than zero)

OpenStudy (anonymous):

i think its the 1st one am i right ir am i wrong

OpenStudy (zzr0ck3r):

wrong, listen to @agent0smith

OpenStudy (zzr0ck3r):

if you subtract 7 from both sides what do you have?

OpenStudy (zzr0ck3r):

|x|<-3 has NO solutions -3<0<=|x|

OpenStudy (zzr0ck3r):

so -3<|x| for all x and thus there is no solution

OpenStudy (austinl):

Oh my god.... @zzr0ck3r is correct. The absolute value makes anything positive, and as a result will NEVER be less than -3 Good catch, apologies if I have lead you astray @bigeyes420

OpenStudy (zzr0ck3r):

"makes any thing positive or 0"

OpenStudy (austinl):

"makes anything non-negative" :P

OpenStudy (zzr0ck3r):

:)

OpenStudy (austinl):

+1 for you good sir, +1 for you. And to clarify, I made the error of treating this as a equality, which you CAN indeed do many times with inequalities. However, just not in this instance!

OpenStudy (zzr0ck3r):

yeah, I've made that mistake countless times:)

OpenStudy (austinl):

Now that we have discovered the meaning of life on this question, the asker has closed it and likely run away with an incorrect answer.... joyous....

OpenStudy (zzr0ck3r):

lol

OpenStudy (austinl):

Off to greener pastures amigos, adios!

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