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Write the set of all integer solutions to four 𝑥 minus eight is less than negative four.
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Integers are whole numbers.
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Therefore, we are only looking for whole number solutions, positive or negative, to the inequality.
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Using the balancing method, we can add eight to both sides of the inequality.
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This leaves us four 𝑥 is less than negative four plus eight.
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As negative four plus eight is positive four, four 𝑥 is less than four.
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Dividing both sides of this inequality by four leaves us with an answer of 𝑥 is less than one.
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This means that 𝑥 can be any whole number value that is less than one.
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Therefore, the solution set or set of values that solve the inequality are zero, negative one, negative two, negative three, and all of the negative numbers.
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There are an infinite number of integer solutions to the inequality four 𝑥 minus eight is less than negative four.