$U = {1, 2, 3, 6, 7, 12, 17, 21, 35, 52, 56}$ , $P =$ ${$ numbers divisible by $7}$ , $Q =$ ${$ prime numbers $}$
List the elements of the set $x : x \in P \cap Q$

Open in App

Solution

$U = {1, 2, 3, 6, 7, 12, 17, 21, 35, 52, 56}$
$P = {7, 21, 35, 56}$
$Q = {2, 3, 7, 17}$
$P \cap Q = {7}$

Suggest Corrections

Similar questions

U = {1, 2, 3, 4, 5, 6}

P = {1, 4, 6}

Q = {2, 3, 4, 5}

R = {1, 2, 6}

(P \cap Q)^{'}

A = {x : x is an odd prime number and x < 15}

B = {x : x is divisible by either 5 or 7, and 3 \leq x \leq 15}

P = A \cup B, Q = A \cap B

P

Q

4^{k}

k

If set A has p elements and set B has q elements, number of elements in set (A $\times$ B) is _____.

If set A has p elements and set B has q elements, then the number of elements in set (A $\times$ B) is _____.

If set P = {2, 4, 6, 8} and set Q = {2, 3, 5, 7}. Find the number of elements in P $\times$ Q.

Join BYJU'S Learning Program