Question

solution of inequality 1/x-5<3​

Answer 1

Answer:

x > 1/8

Step-by-step explanation:

Answer 2

Answer:

Solution of the Inequality is  $x \in (\frac{16}{3},\infty)$

Step-by-step explanation:

We are given the Inequality

                              $\frac{1}{x-5} < 3$

To Find : Range of x.

Solution :

Since the given inequality is  

                                $\frac{1}{x-5} < 3$

taking inverse both sides of the Inequality (Inequality sign changes while taking inverses)

                               $x-5 > \frac{1}{3}$

transfer constant term another side

                              $x > \frac{1}{3}+5$

                              $x > \frac{1}{3}+\frac{5}{1}$

taking LCM of denominator and adding RHS term

                              $x > \frac{16}{3}$

Hence x is greater then 16/3 or  $x \in (\frac{16}{3},\infty)$ is the solution of given inequality.

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