Question

Solve the inequality for x: x−1x−2≥0

Answer 1

Given:

Inequality is

$\frac{x-1}{x-2}\ge0$

Required:

Solve the inequality.

Explanation:

We have inequality greater than or equal to zero.

So, this can happen only when both numerator and denominator positive or negative.

Fraction will be positive when x less than or equal 1 and when x greater than 2.

So, it is

$(-\infty,1]or(2,\infty)$

Answer:

Hence, option B is correct.