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solve the inequality (-2/3) | x+5 | < 12 a. x >7 or x<-7 b. x>7 or x< -17 c. -17

Mathematics
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Hint: Multiply both sides by -3/2
|x+5| < -18 @Hero ??
if when multiply by a negative number ur equation sign must reverse be >

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Other answers:

If one side represents distance and the other side has a negative number, can distance be negative?
i thought that was only for division?
division still family with multiply :p
Bro, if you multiply or divide by a negative number, it doesn't matter. You have to switch signs.
|x+5| > -18 Now that gives us a valid equation to work with since distance (being positive) can be greater than a negative number.
ok so | x+5 | > -18. now you subtract 5 right? so thats x > -23. thats not a choice
Bro, the five is trapped inside the absolute value symbol. What will you do to "free" it?
i dont know
18 > x + 5 > -18 x + 5 < 18 x + 5 > -18
x < 18 - 5 x > -18 - 5
x<13 and x>-23
but how does that help? its not a choice
@Hero ? sorry to bother you
the question is wrong :p
great....so my best guess? maybe c? @RadEn
yes, like u said before the solution should be x<13 or x>-23 (dont use word "and")
or similar by : -23 < x < 13
I think the solution is all real numbers
I double-checked on my calculator and on wolframalpha
yea, all real number :) - multiply by abs number always be negative, right ? because abs number must be positive
Yeah, this is the type where you cannot solve for x by using normal algebra methods. You just have to look at it and realize distance will always be greater than a negative number
@kennyfamily, double check and make sure you posted the question correctly.
recheck again ur question @kenneyfamily

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