Question

The set of value of$x$ for which the inequality holds true
$(x-2{)}^3(x-3\left)\right(x-5{)}^2<0$ is

Answer 1

Find the zeroes of expression
$(x-2{)}^3(x-3\left)\right(x-5{)}^2<0$

Zeros of given expressions are
$x=2,3,5$
Using wavy curve method

So, the value of $x$ for which
$(x-2{)}^3(x-3\left)\right(x-5{)}^2<0$
$x\in (2,3)$
Hence the correct answer is Option B.