Given:
Set A = integers greater than -14 and less than -5.
B = {h, i, s, x, z}.
Let's solve for the following:
• (a). Find the cardinalities of A and B
Since set A is the set of integers greater than -14 and less than -5, the set A will be:
A = {-13, -12, -11, -10, -9, -8, -7, -6}
B = {h, i, s, x, z}
In set A there are 8 elements
In set B there are 5 elements
The cardinality of a set is the number of elements in the set.
Therefore, the cardinalities of A and B are:
n(A) = 8
n(B) = 5.
• (b)., Select true or false.
• -12 ∈ A ==> This is ,True ,since -12 is an element in set A.
• -21 ∈ A ==> This is ,False ,since -21 is not an element in set A.
• s ∈ B ==> This is ,True ,since s is an element in set B.
• m ∉ B ==> This is ,True ,since m is not an element in set B.
ANSWER:
(a). n(A) = 8
n(B) = 5
(b). -12 ∈ A ==> True
-21 ∈ A ==> False
s ∈ B ==> True
m ∉ A ==> True