anonymous
  • anonymous
solve the inequality (-2/3) | x+5 | < 12 a. x >7 or x<-7 b. x>7 or x< -17 c. -17
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
Hint: Multiply both sides by -3/2
anonymous
  • anonymous
|x+5| < -18 @Hero ??
RadEn
  • RadEn
if when multiply by a negative number ur equation sign must reverse be >

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More answers

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

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