$\"\"$ $\"\"$

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The sentence is, one more than the product of $\"\"$ and a number is less than 16.

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Let n be the number.

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The word “product” indicates multiplication and the symbol is $\"\"$

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The word “less than” can be represented as “<” symbol.

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Rewrite the sentence into expression as,

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$\"\"$

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The inequality is $\"\"$ $\"\"$

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Apply subtraction property of inequality: Subtract 1 from each side.

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$\"\"$

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$\"\"$ (Subtract: $\"\"$ )

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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$\"\"$ (Apply Additive inverse property: $\"\"$ )

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$\"\"$ (Apply Additive identity property: $\"\"$ ) $\"\"$

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Apply division property of inequality: Divide each side by 3.

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$\"\"$

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ )

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$\"\"$ (Multiply each side by negative one and flip the symbol)

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$\"\"$ (Product of two same signs is positive) $\"\"$

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The inequality is $\"\"$ .