Compound Inequality Practice

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What is a compound inequality?

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How do you solve a compound inequality with 'and'?

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To solve a compound inequality with 'and', find the intersection of the solution sets of the individual inequalities. The solution must satisfy all inequalities.

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How do you solve a compound inequality with 'or'?

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To solve a compound inequality with 'or', find the union of the solution sets of the individual inequalities. The solution can satisfy any of the inequalities.

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It represents that x is greater than a and less than b, meaning x is in the interval (a, b).

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It means that x can be any number greater than 2 or any number less than or equal to -3.

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It indicates that x is less than or equal to 0 and greater than or equal to 5, meaning x can take values in two separate intervals.

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How do you express the solution of a compound inequality graphically?

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You express it by shading the regions on a number line that correspond to the solution set.