Section 1.2 Linear Inequalities

The solution set may be given using interval notation

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Unformatted text preview: on set may be given using interval notation, set builder notation, or as a graph. Example Model and describe the solution set of the following using an interval, set-builder notation, and a graph. To qualify for a secretarial position, a person must type at least 45 words per minute. Outline Inequalities Properties of Inequalities Properties of Exponents Theorem Suppose a, b, and c are real numbers. 1 If a < b, then a + c < b + c. 2 If a < b and c > 0, then ac < bc. 3 If a < b and c < 0, then ac > bc. Example Try it! Compound Inequalities Applications Outline Inequalities Properties of Inequalities Compound Inequalities Applications Solving Linear Inequalities We solve an linear inequality by transforming the inequality into an equivalent inequality whose solutions are easy to read off. The...
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