Problem

$3$
Rational Inequality $\bar{\dfrac {2\left(x-4\right)} {x}<-4} $
$1.1$ Put the rational inequality in general
$\left(0\pi m$
$\dfrac {R\left(x\right)} {Q\left(x\right)}>0$
where
$\pi c2$ can be replaced by $<.\leq $
$and$ $2$
$2.$ 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.
$5.3$ 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
and substitute those values into the
inequality.
$Notc$
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 $00$ a
solution to the inequality.
$6$ Use interval notation or set notation $\bar{\left(0,\dfrac {3} {4}\right)} $
to write the final answer.

10th-13th grade

Calculus

Search count: 125

Solution

Qanda teacher - kattalahar

please give me good rating and extra coins as the thanks gift

Student

thanks again ma'am!! keep the good work ❤️

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