MCQ
Let $A$ and $B$ be two sets. Then
  • A
    $A  \cup B  \subseteq  A  \cap B$
  • $A  \cap B  \subseteq  A  \cup B$
  • C
    $A  \cap B = A  \cup B$
  • D
    None of these

Answer

Correct option: B.
$A  \cap B  \subseteq  A  \cup B$
b
(b) $A \cap B \subseteq A \subseteq A \cup B$, $\therefore  A \cap B \subseteq A \cup B$.

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

Similar questions

$\left| {\,\begin{array}{*{20}{c}}{a - 1}&a&{bc}\\{b - 1}&b&{ca}\\{c - 1}&c&{ab}\end{array}\,} \right| = $
The true solution set of the inequality,

$\sqrt {5\,x\,\, - \,\,6\,\, - \,\,{x^2}} \,\, + \,\,\frac{\pi }{2}\,\,\int\limits_0^x {} $$dz > x \int\limits_0^\pi  {} sin^2 x \,dx$ is :

If $sin\theta_1 + sin\theta_2 + sin\theta_3 = 3,$ then $cos\theta_1 + cos\theta_2 + cos\theta_3=$
If $f : R \to R,$ be a continuous function such that $f(x) = \int\limits_1^x {tf(t)dt,}$ then the correct statement is -
If $z_1, z_2$ are two distinct complex number such that $\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=2$, then
The solution of the given differential equation $\frac{{dy}}{{dx}} + 2xy = y$ is
The value of the limit of $\frac{{{x^3} - {x^2} - 18}}{{x - 3}}$ as $x$ tends to $3$ is
If $f(x) = x{e^{x(1 - x)}}$, then $f(x)$ is
Let $f(x)=\int_0^x\left(t+\sin \left(1-e^t\right)\right) d t, x \in \mathbb{R}$. Then $\lim _{x \rightarrow 0} \frac{f(x)}{x^3}$ is equal to
Let $\vec{a}=2 \hat i-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-\hat{\mathrm{k}}$. Let a vector $\overrightarrow{\mathrm{v}}$ be in the plane containing $\overrightarrow{\mathrm{a}}$ and $\overrightarrow{\mathrm{b}}$. If $\overrightarrow{\mathrm{v}}$ is perpendicular to the vector $3 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-\hat{\mathrm{k}}$ and its projection on $\vec{a}$ is $19\, units,$ then $|2 \vec{v}|^{2}$ is equal to .... .