Question

let sets a and b be defined as follows.
a = {j, k, l, m, q, r, s}
b is the set of odd numbers greater than 5 and less than 17
(a) find the cardinalities of a and b.
n(a) =
n(b) =
(b) select true or false.

true

false

q ∈ a | ○ | ○
l ∉ a | ○ | ○
-2 ∈ b | ○ | ○
9 ∈ b | ○ | ○

Explanation:

Step1: Count elements in set A

Set \(A = \{j, k, l, m, q, r, s\}\), count the elements: \(7\) elements.

Step2: Define set B and count elements

Odd numbers greater than 5 and less than 17: \(B = \{7, 9, 11, 13, 15\}\), count the elements: \(5\) elements.

Step3: Verify membership for (b)

1. \(q\) is in \(A\): True
2. \(l\) is in \(A\), so \(l

otin A\): False

1. \(-2\) is not an odd number >5: False
2. \(9\) is in set \(B\): True

Answer:

(a) \(n(A) = 7\), \(n(B) = 5\)
(b)

• \(q \in A\): True
• \(l

otin A\): False

• \(-2 \in B\): False
• \(9 \in B\): True