kenneyfamily
solve the inequality
(-2/3) | x+5 | < 12
a. x >7 or x<-7
b. x>7 or x< -17
c. -17<x<7
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Hero
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Hint: Multiply both sides by -3/2
kenneyfamily
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|x+5| < -18 @Hero ??
RadEn
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if when multiply by a negative number ur equation sign must reverse be >
Hero
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If one side represents distance and the other side has a negative number, can distance be negative?
kenneyfamily
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i thought that was only for division?
RadEn
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division still family with multiply :p
Hero
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Bro, if you multiply or divide by a negative number, it doesn't matter. You have to switch signs.
Hero
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|x+5| > -18
Now that gives us a valid equation to work with since distance (being positive) can be greater than a negative number.
kenneyfamily
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ok so | x+5 | > -18. now you subtract 5 right? so thats x > -23. thats not a choice
Hero
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Bro, the five is trapped inside the absolute value symbol. What will you do to "free" it?
kenneyfamily
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i dont know
Hero
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18 > x + 5 > -18
x + 5 < 18
x + 5 > -18
Hero
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x < 18 - 5
x > -18 - 5
kenneyfamily
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x<13 and x>-23
kenneyfamily
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but how does that help? its not a choice
kenneyfamily
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@Hero ? sorry to bother you
RadEn
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the question is wrong :p
kenneyfamily
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great....so my best guess? maybe c? @RadEn
RadEn
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yes, like u said before the solution should be
x<13 or x>-23 (dont use word "and")
RadEn
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or similar by :
-23 < x < 13
Hero
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I think the solution is all real numbers
Hero
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I double-checked on my calculator and on wolframalpha
RadEn
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yea, all real number :)
- multiply by abs number always be negative, right ?
because abs number must be positive
Hero
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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
Hero
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@kennyfamily, double check and make sure you posted the question correctly.
RadEn
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recheck again ur question @kenneyfamily