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Mathematics 24 Online
OpenStudy (anonymous):

can any one help me to solve this problem solving... For what value of x is this inequality |x – 6|< - 8 true? Why?

OpenStudy (anonymous):

No its not because that | | is absolutevalue and will always make it positive

OpenStudy (ranga):

For no value of x! There is no solution to this problem. Reason: The left hand side is an absolute value which will always be positive no matter whether x is negative, zero or positive. But the right hand side is negative. A positive number can never be less than a negative number. So there is no value of x for which the inequality will be valid.

OpenStudy (anonymous):

he is asking if its true or not

OpenStudy (ranga):

He is asking for what value of x the inequality true and why.

OpenStudy (anonymous):

The value of X isnt true because the equation will always be > then 0

OpenStudy (anonymous):

Positive

OpenStudy (ranga):

Answer: There is no value of x for which the inequality is true for the reasons given in my first reply.

OpenStudy (anonymous):

for any value of x it will be>0 since modulus function converts evry result to positive value

OpenStudy (anonymous):

ranga is 100% correct. You can't say "The value of X" is true or false.

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