Problem

(You can refer to the review section
for solving unlike denominators)
3. Set the
equal to numerator and
zero and solve. denominator
The values
4. you get are called critical values.
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.
5.
Select test values in each interval SNes. oS6ainotIdlte. ef p ul: nnr t e d e
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.
6. Use interval notation or set notation
to write the final answer.
$0$ $3$ ASea c o
4.
Rational Inequality $\dfrac {x^{2}+x-6} {x^{2}-3x-4}\leq 0$
1. Put the rational inequality in $genera\right)$
form.
$\dfrac {R\left(x\right)} {Q\left(x\right)}>0$
where
$re>canbe$ replaced by $4$
$and$ 2
$2.1$ Write the inequality into a single
rational expression on the left side.
(You can refer to the review section
for solving unlike denominators)
$3.9$ 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.
$5.S$ Substitute critical values to the
inequality to determine if the
$8$

10th-13th grade

Geometry

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Solution

Qanda teacher - Aravind

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