2(x-4)<-4 2. RATIONAL INEQUALITY 1. Put the rational inequality in general form. JOY R(x) > 0 Q(x) where > can be replaced by <,s and 2 Write the inequality into single rational expression on the left side. Set the numerator and denominator equal to zero and solve. The values you get are called critical values. number

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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2(х - 4)
2. RATIONAL INEQUALITY
<-4
1. Put the rational inequality in general
form.
R(x)
>0
Q(x)
where > can be replaced by <,s
and 2
the inequality into
rational expression on the left side.
Write
single
Set the numerator and denominator
equal to zero and solve. The values
you get are called critical values.
Plot the critical values on a number
line, breaking the number line into
intervals.
Substitute critical values
inequality
endpoints of the intervals in the
solution should be included or not.
to
the
to
determine
if
the
AT SOMA
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.
Use interval notation or set notation to
write the final answer.
Transcribed Image Text:2(х - 4) 2. RATIONAL INEQUALITY <-4 1. Put the rational inequality in general form. R(x) >0 Q(x) where > can be replaced by <,s and 2 the inequality into rational expression on the left side. Write single Set the numerator and denominator equal to zero and solve. The values you get are called critical values. Plot the critical values on a number line, breaking the number line into intervals. Substitute critical values inequality endpoints of the intervals in the solution should be included or not. to the to determine if the AT SOMA 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. Use interval notation or set notation to write the final answer.
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