Which term describes a mathematical sentence that uses comparison operators such as <, >, ≤, ≥, or ≠?

Which term describes a mathematical sentence that uses comparison operators such as <, >, ≤, ≥, or ≠?

• A. Equation
• B. Inequality
• C. Identity
• D. Absolute Value

Answer: (B)

Using comparison operators such as <, >, ≤, ≥, or ≠ creates a statement that relates two expressions and describes all values that satisfy that relationship. This kind of mathematical sentence is called an inequality. It doesn’t pin down a single value like an equation does; instead, it describes a set of values—for example, 3 < x means all numbers greater than 3, often written as the interval (3, ∞). The symbol ≠ is also part of this family, representing not equal, as in y ≠ 4, which includes every value of y except 4. In contrast, an equation uses the equality sign and typically has specific solutions, such as 2x + 3 = 7 giving x = 2. An identity is a statement true for all values of the variable, like x + 1 = x + 1. Absolute value is a function that measures distance from zero and isn’t itself a comparison sentence, though it can appear inside an inequality, like |x| < 2, which would describe x in (-2, 2).

Using comparison operators such as <, >, ≤, ≥, or ≠ creates a statement that relates two expressions and describes all values that satisfy that relationship. This kind of mathematical sentence is called an inequality. It doesn’t pin down a single value like an equation does; instead, it describes a set of values—for example, 3 < x means all numbers greater than 3, often written as the interval (3, ∞). The symbol ≠ is also part of this family, representing not equal, as in y ≠ 4, which includes every value of y except 4.

In contrast, an equation uses the equality sign and typically has specific solutions, such as 2x + 3 = 7 giving x = 2. An identity is a statement true for all values of the variable, like x + 1 = x + 1. Absolute value is a function that measures distance from zero and isn’t itself a comparison sentence, though it can appear inside an inequality, like |x| < 2, which would describe x in (-2, 2).