If x is a real number and |x| < 3, then: - Vidyadip

MCQ

If $x$ is a real number and $|x| < 3,$ then:

A
$\text{x}\geq3$
✓
$-3<\text{x}<3$
C
$\text{x}\leq-3$
D
$-3\leq\text{x}\leq3$

✓

Answer

Correct option: B.

$-3<\text{x}<3$

Given that $|x| < 3$
$\Rightarrow -3 < x < 3 | x | < a$
$\Rightarrow -a < x < a.$

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

If $z$ is a complex number such that $|z| \geq 1$, then the minimum value of $\left|z+\frac{1}{2}(3+4 i)\right|$ is:

For three events $A,B $ and $C$ ,$P ($ Exactly one of $A$ or $B$ occurs$)\, =\, P ($ Exactly one of $C$ or $A$ occurs $) =$ $\frac{1}{4}$ and $P ($ All the three events occur simultaneously $) =$ $\frac{1}{16}$ Then the probability that at least one of the events occurs is :

If the sum of the binomial coefficients of the expansion $\Big(2\text{x}+\frac{1}{\text{x}}\Big)^{\text{n}}$ is equal to $256,$ then the term independent of $x$ is:

Evaluate $\underset{\text{x}\, \rightarrow\,3}{\lim}\, (4\text{x}^2\, +\, 3)$

$\lim \limits _{x \to 0} \frac{{{{(\sin x - \tan x)}^2} - {{(1 - \cos 2x)}^4} + {x^5}}}{{7\cdot{{({{\tan }^{ - 1}}x)}^7}\, + {{({{\sin }^{ - 1}}x)}^6}+ 3{{\sin }^5}x}}$ is equal to

If $p \rightarrow (~p ∨ ~q)$ is false, then the truth values of $p$ and $q$ are respectively.

For any two events, $A$ and $B$ if $P ( A )=0.4, P ( A \cup B )$ $=0.7$ and $P(B)=0.3,$ then

Perpendicular distance of the point (3, 4, 5) from the y-axis is,

Chord of contact of the point $(3, 2)$ w.r.t. the circle ${x^2} + {y^2} = 25$ meets the coordinate axes in $A$ and $B$. The circumcentre of triangle $OAB$ is

If $\omega $ is a cube root of unity, then $(1+\omega -{{\omega }^{2}})$ $(1-\omega +{{\omega }^{2}})$ = [MNR 1990; MP PET 1993, 2002]