# How do you simplify #(3/4)abs4 + (-3) – (-1)#?

##### 2 Answers

#### Explanation:

Evaluate the function abs first

Since

The expression becomes

Evaluate the multiplication next

Since

The expression becomes

Evaluate addition and subtraction starting from the left

Since

The expression becomes

Perform the final subtraction

Since

The expression reduces to

#### Explanation:

1.) First, let's look at "the absolute value" of

Recall that "the absolute value" of something is something and "the absolute value" of (negative)something is something:

|something| = something

|-something| = something

So,

2.) So, the

(Those

3.) Now, we are left with:

The

because (plus) a (negative)something is (negative)something:

and the

because (minus) a (negative)something is (positive)something:

4.) So, now we have:

So,