Notice that we will also need to avoid x 5 since that

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Unformatted text preview: re at the approximate values of the two decimals above and the inequalities show the value of the quadratic evaluated at the test points shown. © 2007 Paul Dawkins 133 College Algebra So, it looks like we need the two outer regions for the solution. Here is the inequality and interval notation for the solution. 1 - 34 3 æ 1 - 34 ö ç -¥, ÷ ç 3÷ è ø -¥ < x < © 2007 Paul Dawkins and and 134 1 + 34 < x<¥ 3 æ 1 + 34 ö ç ç 3 ,¥÷ ÷ è ø College Algebra Rational Inequalities In this section we will solve inequalities that involve rational expressions. The process for solving rational inequalities is nearly identical to the process for solving polynomial inequalities with a few minor differences. Let’s just jump straight into some examples. Example 1 Solve x +1 £ 0. x-5 Solution Before we get into solving these we need to point out that these DON’T solve in the same way that we’ve solve equations that contained rational expressions. With equations the first thing that we always did was clear out the denominators by multiplying by the least common denominator. That won...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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