anonymous
  • anonymous
What is the solution set or set notation for |7x+21|<-7
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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lgbasallote
  • lgbasallote
hint: solve for x in 7x + 21 < -7 AND 7x + 21 > 7 does that help?
ParthKohli
  • ParthKohli
Wait, what? An absolute value inequality doesn't have a negative on its right-hand-side!
ParthKohli
  • ParthKohli
This is a false statement, and does not satisfy for all \(x\).

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ParthKohli
  • ParthKohli
How can an absolute value be less than -7 when absolute value of anything is a positive number?
anonymous
  • anonymous
Do u know the defination of modulas?
anonymous
  • anonymous
IF not then PLZ LOOK AT THIS: let x be any real number. Then the absolute value of x, denoted by IxI, is a non negative real number defined by |dw:1343557688022:dw|
ParthKohli
  • ParthKohli
Nope. \(|-x| =x \qquad |x| = x \)
anonymous
  • anonymous
so, when 7x+21>= 0 then 7x + 21 < -7 x<-4 AND when 7x+21<0 then -(7x+21)<-7 x >-2
ParthKohli
  • ParthKohli
Oh yes.
anonymous
  • anonymous
@sauravshakya now subsitute your answer in the question.. does it seem to satisfy? I already posted this solution.. however @ParthKohli forced me (using logic) to delete it.
anonymous
  • anonymous
YA IT SATISFIES @bhaweshwebmaster
anonymous
  • anonymous
teach me how.. I don't see it..
anonymous
  • anonymous
OH. sorry @bhaweshwebmaster actually there is no solution.... since I 7x+ 21 I >=0

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