Question

solve 5/ (x-2)> 3 and represent the solution set on the number line​

Answer 1

The solution set of x is $x<\frac{11}{3}$.

Step-by-step explanation:

The inequality is:

$\frac{5}{(x-2)}>3$

Solve for the solution set of x as follows:

$\frac{5}{(x-2)}>3$

$5>3(x-2)\\5>3x-6\\5+6>3x\\11>3x\\3x<11\\x<\frac{11}{3}$

Thus, the solution set of x is $x<\frac{11}{3}$.