Question

Write each expression without using absolute value symbols. |0|

Piecewise-Defined Functions
ANSWERED
asked 2021-03-18
Write each expression without using absolute value symbols.
\(|0|\)

Answers (2)

2021-03-19

Definition:
Absolute value:
if x is a real number, then
\(|x| = x\ when\ x\geq 0\)
\(|x|=-x\ when\ x<0\)
This definition indicates that when x is positive or 0, then x is its own absolute value.
However, when x is negative, then -x is its absolute value. Thus |x|is also non-negative.
\(|x|\geq 0\) for all real numbers x
Given:
\(|0|\)
In this case, we will use the definition of absolute value.
\(|0| = 0\)
Final Statement:
Therefore, \(|0| = 0\)

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Best answer
2021-06-25
y=|x-2|+|x-1|
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