Respuesta :
Answer:
[tex]|x-6| \leq 7.5[/tex]
Step-by-step explanation:
We have to use absolute value notation to express the given statement.
Absolute value function:
- It is a function that contains absolute value symbol.
[tex]|x| = x, ~x > 0\\~~~~=-x, ~x < 0[/tex]
- [tex]|a-b|[/tex] is used to express the distance between two points a and b on a number line.
We want to write a absolute value function for all numbers x whose distance from 6 is no more than 7.5 units.
Thus, we can write:
[tex]|x-6| \leq 7.5[/tex]
This can be interpreted as the absolute value of difference between x and 6(both in positive sense and negative sense) is less than equal to 7.5 that is not more than 7.5 units.
