Question
Write the distributive law for any three sets A, B and C.

Answer

(i) $A \cup( B \cap C )=( A \cup B ) \cap( A \cup C )$
(ii) $A \cap( B \cup C )=( A \cap B ) \cup( A \cap C )$

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

Convert 40° 20′ into radian measure.
Three coins are tossed once. Describe the following events associated with this random experiment:
A = Getting three heads
B = Getting two heads and one tail
C = Getting three tails
D = Getting a head on the first coin.
  1. Which pairs of events are mutually exclusive?
  2. Which events are elementary events?
  3. Which events are compound events?
If, S1 is the sum of an arithmetic progression of 'n' odd number of terms and S2 the sum of the terms of the series in odd places, then $\frac{\text{S}_1}{\text{S}_2}=$
  1. $\frac{2\text{n}}{\text{n}+1}$
  2. $\frac{\text{n}}{\text{n}+1}$
  3. $\frac{\text{n}+1}{2\text{n}}$
  4. $\frac{\text{n}+1}{\text{n}}$
Write the negation of the following simple statement:
Every real number is an irrational number.
Let R be a relation from N to N defined by R = {(a, b) : a, b $\in$ N and a = b2}. Check whether  $(a,a) \in R$ for all $a \in N$ ? Justify your answer.
If A and B are subsets of the universal set U, then show that.
$(\text{A}\cap\text{B})\subset\text{A}$
Two dice are thrown Describe the sample space of this experiment.
The income of a person is ₹3,00,000, in the first year and he receives an increase of ₹10,000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.
Let A = {1, 2, 3, . . . 14}. Define a relation R from A to A by R = {(x, y): 3x - y = 0, where $x,y \in A$}. Write down its domain, codomain and range.

Write the coefficient of the middle term in the expansion of $(1+\text{x})^{2\text{n}}.$