What are statements that indicate relationships between variables where the values are not equal called?

What are statements that indicate relationships between variables where the values are not equal called?

• A. Equations
• B. Functions
• C. Inequalities
• D. Proportions

Answer: (C)

Statements that indicate relationships between variables where the values are not equal are called inequalities. Inequalities express a relationship in which one quantity is either greater than or less than another quantity. For example, if you have an inequality like \( x > 5 \), it shows that the value of \( x \) can be any number greater than 5, but not equal to 5 itself. This is distinct from equations, which state that two expressions are equal (e.g., \( x = 5 \)), thus defining precise values. Functions establish a relationship between two sets in such a way that each input (or domain) corresponds to exactly one output (or range), but do not imply a comparison of values like inequalities do. Proportions, on the other hand, compare two ratios and imply a certain equivalency between them; they operate under the assumption of equality rather than the comparative nature of inequalities. Therefore, the correct answer accurately captures the nature of relationships between variables where their values are not equal, distinguishing it effectively from the other concepts.

Statements that indicate relationships between variables where the values are not equal are called inequalities. Inequalities express a relationship in which one quantity is either greater than or less than another quantity. For example, if you have an inequality like ( x > 5 ), it shows that the value of ( x ) can be any number greater than 5, but not equal to 5 itself.

This is distinct from equations, which state that two expressions are equal (e.g., ( x = 5 )), thus defining precise values. Functions establish a relationship between two sets in such a way that each input (or domain) corresponds to exactly one output (or range), but do not imply a comparison of values like inequalities do. Proportions, on the other hand, compare two ratios and imply a certain equivalency between them; they operate under the assumption of equality rather than the comparative nature of inequalities.

Therefore, the correct answer accurately captures the nature of relationships between variables where their values are not equal, distinguishing it effectively from the other concepts.