If 1 |x -2| 3, then x - Vidyadip

MCQ

If $1\leq|\text{x} -2|\leq3,$ then $\text{x}\in$

A
$\big[–1, 5\big]$
✓
$\big[–1, 1\big]\cup\big[3, 5\big]$
C
$\big(–1, 0\big)\cup\big(2, 5\big)$
D
$\big(–1, 5\big)$

✓

Answer

Correct option: B.

$\big[–1, 1\big]\cup\big[3, 5\big]$

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 "M.C.Q (1 Marks)" from Linear Inequalities→Linear Inequalities — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Which of the following is correct?

$\mathop {\lim }\limits_{x \to 0} \frac{{\sin ({x^{\frac{1}{3}}})\,\ln (1 + 3x)}}{{{{({{\tan }^{ - 1}}\sqrt x )}^2}\left( {{e^{5{x^{\frac{1}{3}}}}} - 1} \right)}} = $

If $\cos \alpha + \cos \beta + \cos \gamma = \sin \alpha + \sin \beta + \sin \gamma = 0$ then $\cos 3\alpha + \cos 3\beta + \cos 3\gamma $ equals to

$\mathop {\lim }\limits_{x \to 3} \frac{{\sqrt {3x} - 3}}{{\sqrt {2x - 4} - \sqrt 2 }}$ is equal to

Which of the following is set?

The sum of first $10$ terms of a $G.P.$ is equal to $244$ times the sum of its first five terms. Then the common ratio is

The value of $\tan\text{x}\sin\Big(\frac{\pi}{2}+\text{x}\Big)\cos\Big(\frac{\pi}{2}-\text{x}\Big)$ is:

If the locus of the mid-point of the line segment from the point $(3,2)$ to a point on the circle, $x ^{2}+ y ^{2}=1$ is a circle of radius $r ,$ then $r$ is equal to ..... .

If $z \ne 0$ is a complex number, then

If $A + B + C = {180^o},$ then $\frac{{\sin 2A + \sin 2B + \sin 2C}}{{\cos A + \cos B + \cos C - 1}} = $