2(x-4) < -4 Rational Inequality 1. Put the rational inequality in general form. RI> 0 where > can be replaced by << 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, breaking 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. Canoral math
2(x-4) < -4 Rational Inequality 1. Put the rational inequality in general form. RI> 0 where > can be replaced by << 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, breaking 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. Canoral math
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.9: Graphs Of Linear Inequalities
Problem 25E
Related questions
Question
Transcribed Image Text: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 in not a
solution to the inequality.
7. Use interval notation or set notation
to write the final answer.
Transcribed Image Text:2(x-4)
< -4
Rational Inequality
1. Put the rational inequality in general
form.
RI >0
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, breaking 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.
Goneral mathem
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