Alg 1 1-6 compound inequalities

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Write a compound inequality to represent the sentence: A quantity X is at least 10 and at most 20.

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Write a compound inequality for the graph: x is less than -2 or x is greater than 1.

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Bob plans to spend at least $15 and at most $20 on sketch pads and pencils. If he buys 2 sketch pads, how many pencils can he buy while staying in his price range?

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At least 12 and at most 18 pencils.

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What is a compound inequality?

Back

An inequality that is made up of two or more inequalities.

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Define a compound inequality.

Back

A compound inequality combines two or more inequalities using 'and' or 'or'.

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What does 'and' mean in a compound inequality?

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It means both conditions must be true simultaneously.

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What does 'or' mean in a compound inequality?

Back

It means at least one of the conditions must be true.

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How do you solve a compound inequality?

Back

Solve each inequality separately and find the intersection (for 'and') or union (for 'or').

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