Inequalities and Equations Midterm Review 2024

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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It represents a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

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Write the equation for a man descending from 100 feet at 30 feet per minute.

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What is the equation for renting a paddle boat with a $15 deposit and $2 per hour?

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What is the difference between an equation and an inequality?

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An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

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What is the slope-intercept form of a linear equation?

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How do you graph an inequality on a number line?

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Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side.

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What does the term 'solution set' mean in the context of inequalities?

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The solution set is the set of all values that satisfy the inequality.