Question

Describe all numbers x that are at a distance of 4 from the number 7.Express this using absolute value notation.

Answer 1

Step 1:

In this question, we are given the following:

Describe all numbers x that are at a distance of 4 from the number 7.

Express this using absolute value notation.

Step 2:

The details of the solution are as follows:

Given:

Number x at a distance of 4 from the number 7.

Calculation:

The given statement is the numbers x are at a distance of 4 from the

number 7;

The number x at a distance of 4 is:

`y\text{ = }\lvert{x}\rvert\text{ + 4}`

x at a distance of 4 from the number 7;

`y\text{ = }\lvert x-7\text{ }\rvert\text{ + 4}`

CONCLUSION:

Thus, the absolue value equation is:

`y\text{ = }\lvert{x-7}\rvert\text{ + 4}`