Question

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

Piecewise-Defined Functions
Write each expression without using absolute value symbols.
$$|0|$$

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, $$|0| = 0$$

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