$\"\"$

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Let n is an unknown number.

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The word $\"\"$ the sum of 3 times a number n and 4 $\"\"$ represents $\"\"$ .

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The word between means to be exclusive and represents $\"\"$ .

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The word $\"\"$ The sum of 3 times a number n and 4 between $\"\"$ and 10 $\"\"$ represents $\"\"$ . $\"\"$

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The inequality is $\"\"$ .

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The inequality $\"\"$ divide into two inequalities by using and.

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$\"\"$ .

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

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Subtract 4 from each side.

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$\"\"$

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$\"\"$ .

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Divide each side by 3.

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$\"\"$

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Cancel common terms.

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

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

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Subtract 4 from each side.

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$\"\"$

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$\"\"$

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Divide each side by 3.

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$\"\"$

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Cancel common terms.

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$\"\"$ .

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The solution set is $\"\"$ .

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The value of n lies between $\"\"$ . $\"\"$

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Check: To check, substitute three different values for n into the original compound inequality $\"\"$ : any number between $\"\"$ , a number less than or equal $\"\"$ , and greater than or equal 2.

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Let five values are $\"\"$ .

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If $\"\"$ then $\"\"$ (This is false)

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If $\"\"$ then $\"\"$ (This is false)

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If $\"\"$ then $\"\"$ (This is true)

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If $\"\"$ then $\"\"$ (This is false)

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If $\"\"$ then $\"\"$ (This is false) $\"\"$

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The solution set is $\"\"$ .