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

question 539

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.

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Definitions:

Allowance for Doubtful Accounts

An account that offsets assets, designed to predict the amount of a company’s accounts receivable that is likely to be uncollectible.

Normal Balance

The side (debit or credit) of an account that is positive or increasing in nature, depending on the type of account.

Adjusting Entry

A journal entry made at the end of an accounting period to allocate income and expenditure to the period in which they actually occurred.

Uncollectibles

Financial term referring to debts or receivables that are deemed unlikely to be collected and thus written off.