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Rules of Absolute Values
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Lesson Summary:
We present here some basic rules of absolute values needed for many proofs.
GAIN AN ADVANTAGE
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Lesson Specific Problems
Prove that
|xa|\left|\frac{1}{x}-\frac{1}{a}\right|=|x-a|.
Prove that
|ab|=|a|\,|b|
.
Prove that
|a|=0
if and only if
a=0
.
Prove the triangle inequality.
Prove that
a\,b\leq|a|\,|b|
for all real numbers
a
and
b
.
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