Question

let sets a and b be defined as follows.\\( a = \\{j, k, l, m, q, r, s, t\\}\\)\\( b \\) is the set of odd numbers greater than 5 and less than 13\\(\text{(a) find the cardinalities of } a \text{ and } b.\\)\\( n(a) = \square \\)\\( n(b) = \square \\)

Explanation:

Step1: Count elements in set A

Count distinct elements: $j,k,l,m,q,r,s,t$ → total 8.

Step2: Define set B

Odd numbers: $7,9,11$ (greater than 5, less than 13)

Step3: Count elements in set B

Count elements in $B=\{7,9,11\}$ → total 3.

Answer:

$n(A) = 8$
$n(B) = 3$