Writing and Solving Inequalities and Systems of Inequalities

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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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What does the symbol '<' represent in inequalities?

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What does the symbol '>' represent in inequalities?

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

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How do you solve a system of inequalities by graphing?

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To solve a system of inequalities by graphing, graph each inequality on the same coordinate plane and identify the region where the shaded areas overlap.

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What does the symbol '≤' mean in inequalities?

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What does the symbol '≥' mean in inequalities?

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How do you write an inequality for a situation where a person has a maximum amount of money to spend?

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If Amy has $35 and Lyft charges $5 plus $2 per mile, how do you express the maximum miles she can travel?

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