Inequalities

Exercise 1:

Find all solutions of the inequality

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Solution.

We want to isolate x on the left: subtract 2 from both sides (Rule 1) to obtain

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i.e.,

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then, divide by 3 on both sides (Rule 3a):

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so

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The set of solutions consists of all real numbers exceeding 1.

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Helmut Knaust
Fri Jul 11 14:32:40 MDT 1997

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