Simplify: |3r−15| if r<5

if

Step-by-step explanation:

Given that:

r < 5

To simplify:

|3r−15|

Solution:

First of all, let us learn about Modulus function:

In other words, we can say:

Modulus function has a role to make its contents positive.

If the contents are positive, the result will be equal to its contents only.

If the contents are negative, it will add a negative sign to the contents to make it positive.

Now, let us consider the given condition:

Multiply both sides with 3. (As 3 is a positive number, the equality sign will not change.)

Subtracting 15 from both sides:

Now, we know that , let us use the definition of Modulus function.

Add a negative sign to the contents because the contents are already negative.

So, the answer is:

if

what?

step-by-step explanation: