Use absolute value notation to represent the following: all numbers x whose distance from 6 is no more than 7.5 units

Step-by-step explanation:

We have to use absolute value notation to express the given statement.

Absolute value function:

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:

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.