Tag: complement of sets

Questions Related to complement of sets

$(A\cup B)' $  $=$

mathematics and statistics set language de morgan's law for set theory complement of sets different sets de morgan's law

  1. $A' \cup B'$

  2. $A' \cap B'$

  3. $A$

  4. 0

Show answer
Correct Option: B

Let the universal set, $\xi$ = {$x : 1 \leq  x \leq  15$ and x is an  integer} set H = {x : x is a multiple of 3} and set K = {x : x is an even number}. Find $n(H' \cap K)$.

mathematics and statistics sets and relations de morgan's law for set theory complement of sets different sets de morgan's law

  1. $2$

  2. $5$

  3. $7$

  4. $13$

Show answer
Correct Option: B
Explanation:

H' includes all numbers from 1 to 15 that are not multiples of 3.


$H'\cap K ={2,4,8,10,14}$

$n(H'\cap K) =5$