A1A Compound Inequalities - AND

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What is a compound inequality?

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What does the 'AND' in a compound inequality signify?

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How do you solve a compound inequality?

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To solve a compound inequality, isolate the variable in the middle by performing the same operations on all parts of the inequality. Ensure to maintain the direction of the inequalities.

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How do you graph a compound inequality with 'AND'?

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To graph a compound inequality with 'AND', shade the region where both inequalities overlap on a number line.

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It represents all numbers greater than 3 and less than 11, shown as an open interval on the number line.

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What is an open interval?

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An open interval is a range of numbers that does not include its endpoints, denoted as (a, b). For example, (3, 11) means x is greater than 3 and less than 11.