Question

What is the solution of

Answer 1

x can be any value less than 3

Explanation:

It must understood that the solution interval of x will never contain 3

(because (x-2)/(x-3) is a rational function and by definition the denominator is always a non-zero polynomial)

`3+(1+(1)/(x-3))\le4\\\\4+(1)/(x-3)\le4\\\\(1)/(x-3) < 0`

(if the denominator is negative, the LHS will be negative and satisfy the inequality)

`\therefore x < 3` (or)
`x\in (-\infty,3)`