x2 +x - 6x2-3x - 4Rational Inequality1. Put the rational inequality in generalform.R(X)where > can be replaced by

Rational Inequality x2-3x-4 1. Put the rational inequality in general form. RE>0 where > can be replaced by <,S and 2 2. Write the inequality into a single rational expresaion on the lef side. (You can refer to the review section for solvinY unlike denon intor

Rational Inequality x2-3x-4 1. Put the rational inequality in general form. RE>0 where > can be replaced by <,S and 2 2. Write the inequality into a single rational expresaion on the lef side. (You can refer to the review section for solvinY unlike denon intor

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter7: Rational Expressions And Functions

Section7.6: Solve Rational Inequalities

Problem 376E: Create a rational inequality whose solution is (2][4,) .

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Question

100%

x2 +x - 6
x2-3x - 4
Rational Inequality
1. Put the rational inequality in general
form.
R(X)
where > can be replaced by <S
and 2
2. Write the inequality into a single
rational expression on the left side.
(You can refer to the review section
for solving unlike denominators)
3. Set the numerator and denominator
equal to zero and solve. The values
you get are called critical values.
4. Plot the critical values on a number
line, breakking the number line into
intervals.
5. Substitute critical values to the
inequality to determine if the
endpoints of the intervals in the
solution should be included or not.
6. Select test values in each interval
and substitute those values into the
inequality.
Note:
If the test value makes the inequality
true, then the entire interval is a
solution to the inequality.
If the test value makes the inequality
false, then the entire interval is not a
solution to the inequality.
7. Use interval notation or set notation
to write the final answer.
1-3,-1) U[2,4)

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