Let sets A and B be defined as follows.
A is the set of integers greater than - 7 and less than - 3
B={c, h, j, k, v, y}

(a) Find the cardinalities of A and B.
n(A) = ? n(B)= ?
(b) Select true or false.

True
False
-6E A
-14 EA
k E B
Q E B
The E is the signal used not the actual letter E

Answer:

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Step-by-step explanation:

Given

A is the set of integers greater than - 7 and less than - 3

B={c, h, j, k, v, y}

For set A:

The integers greater than -7 will be -6,-5 ....

As the set has integers less than -3, the set will be:

[tex]A = \{-6,-5,-4\}[/tex]

Cardinalities:

Cardinality is the number of elements in the set.

So,

[tex]n(A) = 3\\n(B) = 6[/tex]

Now for the statements:

-6 ∈ A        True as -6 is a member of set A

-14 ∈ A       False as -14 is not a member of A

k ∈ B          True

Q∈B            False

Hence,

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

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