Problem 61 - Introductory Algebra for College Students

Question

Find each sum. $$|-3+(-5)|+|2+(-6)|$$

Step-by-Step Solution

Answer

The answer is 12.

Step 1: Simplify the first absolute value equation

Solve the equation inside the first absolute value signs: |-3+(-5)|. This simplifies to |-8|.

Step 2: Solve the absolute value

Solve |-8|, which simplifies to 8 because the absolute value of a number is always positive.

Step 3: Simplify the second absolute value equation

Solve the equation inside the second absolute value signs: |2+(-6)|. This simplifies to |-4|.

Step 4: Solve the absolute value

Solve |-4|, which simplifies to 4 because the absolute value of a number is always positive.

Step 5: Add the solutions

Add the solutions of the two absolute value equations together: \(8 + 4 = 12\).