Question

Find the absolute value of the following numbers. a. abs(7)=? b. abs(-7)=? c. -abs(7)=? d. -abs(-7)=?

Piecewise-Defined Functions
Find the absolute value of the following numbers.
a. $$\displaystyle{\left|{{7}}\right|}=$$?
b. $$\displaystyle{\left|{-{7}}\right|}=$$?
c. $$\displaystyle-{\left|{{7}}\right|}=$$?
d. $$\displaystyle-{\left|{-{7}}\right|}=$$?

2021-01-06
Step 1 : Analysis
Given :
a. $$\displaystyle{\left|{{7}}\right|}$$
b. $$\displaystyle{\left|{-{7}}\right|}$$
c. $$\displaystyle-{\left|{{7}}\right|}$$
d. $$\displaystyle-{\left|{-{7}}\right|}$$
Step 2 : Simplification
a. $$\displaystyle{\left|{{7}}\right|}$$
We know that the absolute value of any number is always positive,
$$\displaystyle{\left|{{7}}\right|}={7}$$
b. $$\displaystyle{\left|{-{7}}\right|}$$
We know that the absolute value of any number is always positive,
$$\displaystyle{\left|{-{7}}\right|}={7}$$
Step 3 : Solution
c. $$\displaystyle-{\left|{{7}}\right|}$$
We know that the absolute value of any number is always positive,
$$\displaystyle-{\left|{{7}}\right|}=-{7}$$
d. $$\displaystyle-{\left|{-{7}}\right|}$$
We know that the absolute value of any number is always positive,
$$\displaystyle-{\left|{-{7}}\right|}=-{7}$$