Determine Which Property of Absolute Value Justifies the Statement $$| x + y | \leq | x | + | y |$$

Multiple Choice

Determine which property of absolute value justifies the statement.
- $$| x + y | \leq | x | + | y |$$

A) Property 5 : the sum of the absolute values of two numbers is less than or equal to the absolute value of their sum (the triangle inequality) .
B) Property 4: the sum of two numbers is less than or equal to the absolute value of the sum of the numbers.
C) Property 5: the absolute value of the sum of two numbers is less than or equal to the sum of their absolute values (the triangle inequality) .
D) Property 4: the absolute value of the sum of the numbers is less than or equal to the sum of the two numbers.