If |x-2| x-2 0, then - Vidyadip

MCQ

If $\frac{|x-2|}{x-2} \geq 0$, then

A
$x \in(-\infty, 2)$
B
$x \in[2, \infty)$
✓
$x \in(2, \infty)$
D
$x \in(-\infty, 2]$

✓

Answer

Correct option: C.

$x \in(2, \infty)$

(c) $x \in(2, \infty)$
Since $\frac{|x-2|}{x-2} \geq 0$, for $|x-2| \geq 0$, and $x-2 \neq 0$ solution set $(2, \infty)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Model Paper 1→Model Paper 1 — all question types→Applied Maths STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

20 litres of a mixture contains milk and water in the ratio $3 : 1.$ The amount of milk, in litres, to be added to the mixture so as to have milk and water in the ratio $4 : 1,$ is:

Which of the following is a vertex of the positive region bounded by the inequalities,
$2 x+3 y \leq 6$ and $5 x+3 y \leq 15$

The solution set of the inequation $|x+2| \leq 5$ is

$(49+57)(\bmod 50)$ is

$E(X)=\lambda$ is for which distribution?

The matrix $\left[\begin{array}{ccc}0 & -5 & 8 \\ 5 & 0 & 12 \\ -8 & -12 & 0\end{array}\right]$ is a:

If $A=\left[\begin{array}{lll}1 & 2 & x \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$ and $B=\left[\begin{array}{ccc}1 & -2 & y \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$ and $A B=I_{3'}$ then $(x+y)$ equals:

The value of $\int \frac{1}{x+x \log x} d x$ is

In what ratio must a grocer mix two varieties of pulses costing ₹ 15 and ₹ 20 per kg respectively so as to get a mixture worth ₹ 16.50 kg?

If $f(a+b-x)=f(x)$, then $\int_a^b x f(x) d x$ is equal to