Problem

In Exercise, explain why the given statement is true for any numbers c and d. [Hint: Look...

In Exercise, explain why the given statement is true for any numbers c and d. [Hint: Look at the properties of absolute value.]

Properties of Absolute Value

Property	Description
1. \|c\| ≥ 0	The absolute value of a number is nonnegative.
2. If c ≠ 0, then \|c\| > 0.	The absolute value of a nonzero number is positive.
3. \|c\| = \|−c\|	A number and its negative have the same absolute value.
4. \|cd\| = \|c\| · \|d\|	The absolute value of the product of two numbers is the product of their absolute values.
5.	The absolute value of the quotient of two numbers is the quotient of their absolute values.