Explanation
Set A is composed of all the even numbers equal or greater than 4 and equal or less than 8 so set A is:
[tex]A=\lbrace4,6,8\rbrace[/tex]
The cardinalities of A and B are equal to their number of elements so we have n(A)=3 and n(B)=7.
With both sets explicitly written we can complete the true or false table. The only thing to take into account is that the symbol ∈ means "belongs to" and that ∉ means "does not belong to".
The first statement of the table is:
[tex]12\in A[/tex]
This is false because 12 does not belong to set A since it is not included in it.
The second statement is:
[tex]22\in B[/tex]
As you can see 22 is in deed one of the elements of set B which means that this statement is true.
The third one is:
[tex]6\notin A[/tex]
This statement is false because as we saw before 6 is an element of set A.
The last statement is:
[tex]-24\in B[/tex]
As you can see -24 is one of the elements of set B so this statement is true.
Answers
False
True
False
True
