For what value of x is this inequality |x – 6| < - 8 true? Why?
1
Expert's answer
2013-10-11T07:51:02-0400
The absolute value (or modulus) |a| of a real number a is the non-negative value of a. |a| = a for the positive a, |a| = -a for the negative a. In other words, |a|>=0 for all real a. That's why inequality |x – 6| < - 8 is not correct for all real x. There doesn't exist x for which inequality |x – 6| < - 8 is true.
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