If B={x e W and x < 5 }and C={x:x e N, 5 < x < 10},
find the elements of the set B and C
also find n(A) and n(B)
W is the set of WHOLE numbers which are 0,1,2,3,4,5,6,... etc.
B={x e W and x < 5}
So B is the set of whole numbers that are less than 5:
so B = {0,1,2,3,4}
N is the set of NATURAL numbers which are {1,2,3,4,5,6,7,... etc.
C={x:x e N, 5 < x < 10}
So C is the set of natural numbers greater than 5 and also less than
10. Or you might say, the ones between 5 and 10, not including
5 or 10,
so C = {6,7,8,9}
n(A) and n(B)
[You didn't mention any set A. Was that an error? I will answer
n(B) and n(C) instead.]
n(B) and n(C) asks us to count how many there are in the sets
B and C.
Since B = {0,1,2,3,4}, n(B) = 5 because it contains 5 elements.
Since C = {6,7,8,9}, n(C) = 4 because it contains 4 elements.
Edwin