Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

The answer is 1.

Step-by-step explanation:

Given the expression:

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

and

Using the definition of absolute value function as per above definition.

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression will be equivalent to :

So, the expression is equivalent to 1.

60

step-by-step explanation:

were is the equation