Question

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explain why this situation represents an inequality and not an equation.
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Explanation:

An equation shows equality (using $=$) between two expressions, meaning they have the same value. An inequality (using symbols like $>$, $<$, $\geq$, $\leq$) shows a relationship where one expression is not equal to the other (e.g., greater than, less than). If the situation involves a comparison where values aren’t equal (e.g., a quantity is more than/less than another), it’s an inequality, not an equation (which requires exact equality).

Answer:

A situation represents an inequality (not an equation) because it involves a relationship where two expressions are not equal (e.g., using $>$, $<$, $\geq$, $\leq$) rather than showing exact equality (with $=$). For example, if a problem states “a number is greater than 5” (modeled as $x > 5$), it’s an inequality since it describes a non - equal relationship, unlike an equation (e.g., $x = 5$) which requires the two sides to have the same value.