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GiggleSquid

What is the solution set or set notation for |7x+21|<-7

  • one year ago
  • one year ago

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  1. lgbasallote
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    hint: solve for x in 7x + 21 < -7 AND 7x + 21 > 7 does that help?

    • one year ago
  2. ParthKohli
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    Wait, what? An absolute value inequality doesn't have a negative on its right-hand-side!

    • one year ago
  3. ParthKohli
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    This is a false statement, and does not satisfy for all \(x\).

    • one year ago
  4. ParthKohli
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    How can an absolute value be less than -7 when absolute value of anything is a positive number?

    • one year ago
  5. sauravshakya
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    Do u know the defination of modulas?

    • one year ago
  6. sauravshakya
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    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|

    • one year ago
  7. ParthKohli
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    Nope. \(|-x| =x \qquad |x| = x \)

    • one year ago
  8. sauravshakya
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    so, when 7x+21>= 0 then 7x + 21 < -7 x<-4 AND when 7x+21<0 then -(7x+21)<-7 x >-2

    • one year ago
  9. ParthKohli
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    Oh yes.

    • one year ago
  10. bhaweshwebmaster
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    @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.

    • one year ago
  11. sauravshakya
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    YA IT SATISFIES @bhaweshwebmaster

    • one year ago
  12. bhaweshwebmaster
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    teach me how.. I don't see it..

    • one year ago
  13. sauravshakya
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    OH. sorry @bhaweshwebmaster actually there is no solution.... since I 7x+ 21 I >=0

    • one year ago
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