$\"\"$

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The word $\"\"$ more than $\"\"$ represent the addition operation and its symbol is $\"\"$ .

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The word $\"\"$ is less than $\"\"$ represent the symbol $\"\"$ .

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The word $\"\"$ Five more than x $\"\"$ represent the expression $\"\"$ .

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The word $\"\"$ Five more than x is less than 8 $\"\"$ represent the expression $\"\"$ .

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The word $\"\"$ less than $\"\"$ represent the subtraction operation and its symbol is $\"\"$ .

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The word $\"\"$ is greater than $\"\"$ represent the symbol $\"\"$ .

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The word $\"\"$ Three less than x $\"\"$ represent the expression $\"\"$ .

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The word $\"\"$ Three less than x is greater than 5 $\"\"$ represent the expression $\"\"$ .

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The word $\"\"$ Five more than x is less than 8 or 3 less than x is greater than 5 $\"\"$ represent the compound inequality $\"\"$ . $\"\"$

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The compound inequality is $\"\"$ .

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Solve the inequality 1: $\"\"$ .

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Subtract 5 from each side.

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$\"\"$

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$\"\"$

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$\"\"$ . $\"\"$

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Solve the inequality 2: $\"\"$ .

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Add 3 to each side.

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$\"\"$

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$\"\"$

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$\"\"$ .

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The compound inequality can be written as $\"\"$ . $\"\"$

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The compound inequality $\"\"$ graph is

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$\"compound$

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Observe the graph, the open circle means that $\"\"$ are not a solutions of the inequality. $\"\"$

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The compound inequality $\"\"$ graph is

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$\"compound$