Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 4 and 15

Question
Piecewise-Defined Functions
asked 2020-10-26
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15

Answers (1)

2020-10-27
Step 1
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15
Step 2
We know that,the distance between p and q is given by \(\displaystyle{\left|{{p}-{q}}\right|}{\quad\text{or}\quad}{\left|{{q}-{p}}\right|}\).
So, the distance between 4 and 15 is \(\displaystyle{\left|{{4}-{15}}\right|}{\quad\text{or}\quad}{\left|{{15}-{4}}\right|}\)
Now, for \(\displaystyle{\left|{{4}-{15}}\right|}\)
\(\displaystyle\Rightarrow{\left|{{4}-{15}}\right|}={\left|{-{11}}\right|}\)
\(\displaystyle\Rightarrow{\left|{{4}-{15}}\right|}={11}\)
Now, for \(\displaystyle{\left|{{15}-{4}}\right|}\)
\(\displaystyle\Rightarrow{\left|{{15}-{4}}\right|}={\left|{-{11}}\right|}\)
\(\displaystyle\Rightarrow{\left|{{15}-{4}}\right|}={11}\)
On solving both \(\displaystyle{\left|{{4}−{15}}\right|}{\quad\text{or}\quad}{\left|{{15}−{4}}\right|}\) we get 11
Therefore,the distance between 4 and 15 is 11
0

Relevant Questions

asked 2021-02-13
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-5.4 and -1.2
asked 2021-02-21
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-3.6 and -1.4
asked 2020-12-15
Express the distance between the numbers 2 and 17 using absolute value. Then find the distance by evaluating the absolute value expression ?
asked 2020-12-09
Express the distance between the numbers -26 and -3 using absolute value. Then find the distance by evaluating the absolute value expression ?
asked 2021-02-12
Express the distance between the numbers 2 and 17 using absolute value. Then, find the distance by evaluating the absolute value expression ?
asked 2020-12-13
Express the distance between the numbers 2 and 17 using absolute value.And then, find the distance by evaluating the absolute value expression?
asked 2020-11-01
Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.
asked 2021-02-16
Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.
asked 2021-02-12
Which of the following correctly uses absolute value to show the distance between -80 and 15?
A.
\(\displaystyle{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}=-{95}\) units
B.
\(\displaystyle{\left|{-{80}+{15}}\right|}={\left|{-{65}}\right|}={65}\) units
C.
\(\displaystyle{\left|{-{80}-{15}}\right|}={\left|{-{95}}\right|}={95}\) units
D.
\(\displaystyle{\left|{-{80}+{15}}\right|}={\left|{-{65}}\right|}=-{65}\) units
asked 2020-11-23
The absolute value of -6 is equal to the distance on a number line between.
1)-6 an 6
2)-6 and 1
3)0 and 6
4)1 and -6
...