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2. Solve example 2 of rational inequality. You can refer to example 1 for the gide steps Example 1 3. S-1 Example 2 3x+1 Rational Inequality X- 2 x-1 22 1. Put the rational inequality in general form. R(x) Q(x) 3 +1s0 X-2 where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can 3+1(x-2) x-2 x+1 refer to the review section for solving unlike dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you called x +1 = 0 x = --1 critical Denominator: get values. are x-2 = 0 x = 2 4. Plot the critical values on a number line, breaking the number line into intervals. -1 2. 3. 5. Substitute critical values to the inequality to determine if the endpoints 1ーラ S-1 X- 2 when x =-1 3. of the intervals in the solution should be included or not. 1-75-1 S-1 -3 -1 s-1 v (x =-1 is included in the solution) 3.

2. Solve example 2 of rational inequality. You can refer to example 1 for the gide steps Example 1 3. S-1 Example 2 3x+1 Rational Inequality X- 2 x-1 22 1. Put the rational inequality in general form. R(x) Q(x) 3 +1s0 X-2 where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can 3+1(x-2) x-2 x+1 refer to the review section for solving unlike dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you called x +1 = 0 x = --1 critical Denominator: get values. are x-2 = 0 x = 2 4. Plot the critical values on a number line, breaking the number line into intervals. -1 2. 3. 5. Substitute critical values to the inequality to determine if the endpoints 1ーラ S-1 X- 2 when x =-1 3. of the intervals in the solution should be included or not. 1-75-1 S-1 -3 -1 s-1 v (x =-1 is included in the solution) 3.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
Problem 2E: To solve the nonlinear inequality x+1x20 , we first observe that the number, ____ and ____ are zeros...
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2. Solve example 2 of rational inequality. You can refer to example 1 for the guide steps Example 1 Example 2 3x+1 Rational Inequality x-25-1 5. Select test values interval and subs those values into inequality. 1. Put the rational inequality in general form. R(X) > 0 x-2+1s0 Note: If the test value r inequality true, Q(x) where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can entire interval is to the inequality If the test value inequality false 3+ 1(x – 2) x - 2 entire interval solution to the x +1 refer to the review section unlike solving dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you for x +1 = 0 x = --1 called critical Denominator: 6. Use interva set notation final answ get values. are x-2 = 0 How do you f x = 2 4. Plot the critical values on a The activity it right. You number line, breaking the number line into intervals. + -1 Let's check 5. Substitute critical values hope you e 3. S-1 to the inequality to determine if the endpoints x-2 of the intervals in the when x = -1 solution should be 3 S-1 included or not. -3S-1 -1 s-1v (x = -1 is included in the solution) Ration polyno proble when x = 2 3 equat mach Let u S-1 S-1 solv undefined s-1 X (x = 2 is not included in the solution) equ Le
Transcribed Image Text:2. Solve example 2 of rational inequality. You can refer to example 1 for the guide steps Example 1 Example 2 3x+1 Rational Inequality x-25-1 5. Select test values interval and subs those values into inequality. 1. Put the rational inequality in general form. R(X) > 0 x-2+1s0 Note: If the test value r inequality true, Q(x) where > can be replaced by <,s and > 2. Write the inequality into a single rational expression on the left side. (You can entire interval is to the inequality If the test value inequality false 3+ 1(x – 2) x - 2 entire interval solution to the x +1 refer to the review section unlike solving dencminators) 3. Set the numerator and Numerator: dencminator equal to zero and solve. The values you for x +1 = 0 x = --1 called critical Denominator: 6. Use interva set notation final answ get values. are x-2 = 0 How do you f x = 2 4. Plot the critical values on a The activity it right. You number line, breaking the number line into intervals. + -1 Let's check 5. Substitute critical values hope you e 3. S-1 to the inequality to determine if the endpoints x-2 of the intervals in the when x = -1 solution should be 3 S-1 included or not. -3S-1 -1 s-1v (x = -1 is included in the solution) Ration polyno proble when x = 2 3 equat mach Let u S-1 S-1 solv undefined s-1 X (x = 2 is not included in the solution) equ Le
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