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.

Explore the impact of market dynamics and policy changes on welfare and equity.

Distinguish between market structures and their implications for output, pricing, and efficiency.

Comprehend the significance of consumer and producer surplus in measuring economic welfare.

Understand the consequences of government intervention on market efficiency and welfare.

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Definitions:

Beta

A measure of a stock's volatility in relation to the overall market.

Required Return

The minimum expected return an investor seeks for holding a risky investment, considering both time value of money and risk factors.

Expected Return

The weighted average of all possible returns from an investment, accounting for the probability of each outcome.

Beta

An indicator of how much a stock's price fluctuates compared to the entire market, showing the level of risk associated with its returns.