MCQ
Which of the following statement is false (where $A$ $\&$ $B$ are two non empty sets)
  • A
    $A - B = A \cap B'$
  • B
    $A - B = A - (A \cap B)$
  • $A - B = A - B'$
  • D
    $A - B = (A \cup B) - B$

Answer

Correct option: C.
$A - B = A - B'$
c
$A  \cap B' = A - (A  \cap B)$
$A  \cap B' = (A \cup B) - B$

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

If ${S_n} = \sum\limits_{k = 1}^n {{a_k}} $ and $\mathop {\lim }\limits_{n \to \infty } {a_n} = a,$ then $\mathop {\lim }\limits_{n \to \infty } \frac{{{S_{n + 1}} - {S_n}}}{{\sqrt {\sum\limits_{k = 1}^n k } }}$ is equal to
Let $f(x) = Ax^3 -Bx -tanx.sgn(x)$ be an even function $\forall \,\,x\, \in R - \left\{ {\left( {2n + 1} \right)\frac{\pi }{2},n \in I} \right\}$ , 

where $A = {\sin ^2}\alpha  - \sin \alpha  + \frac{1}{4}$

and    $B = {\tan ^2}\alpha  + \frac{2}{{\sqrt 3 }}\tan \alpha  + \frac{1}{3}$ , then the number of value $(s)$ of $\alpha $ in $\left[ { - \frac{{3\pi }}{2},2\pi } \right]$ is - (where $sgnx$ denotes signum function of $x$ )

The function $f(x) = sgnx\,\cdot \,sinx$ is
The most general value of $\theta $ satisfying the equations $\sin \theta = \sin \alpha $ and $\cos \theta = \cos \alpha $ is
${\mathop{\rm Re}\nolimits} \frac{{{{(1 + i)}^2}}}{{3 - i}}$ =
The equation of the normal to the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ at the point $(a\cos \theta ,\;b\sin \theta )$ is
A $G.P.$ consists of an even number of terms. If the sum of all the terms is $5$ times the sum of the terms occupying odd places, then the common ratio will be equal to
Find the probability that the two digit number formed by digits $1, 2, 3, 4, 5$ is divisible by $4$ (while repetition of digit is allowed)
Let $R _{1}$ and $R _{2}$ be two relations defined as follows :

$R _{1}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \in Q \right\}$ and $R _{2}=\left\{( a , b ) \in R ^{2}: a ^{2}+ b ^{2} \notin Q \right\}$

where $Q$ is the set of all rational numbers. Then

In the expansion of $\left(\sqrt[3]{2}+\frac{1}{\sqrt[3]{3}}\right)^{n}, \mathrm{n} \in \mathrm{N}$, if the ratio of $15^{\text {th }}$ term from the beginning to the $15^{\text {th }}$ term from the end is $\frac{1}{6}$, then the value of ${ }^{n} C_{3}$ is :