Symbol
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
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Student
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