Find the cardinal number for the set Cxx 14 Choose the corr

Find the cardinal number for the set C={x|x = 14} Choose the correct answer below. The set is the empty set. The set is not the empty set A study of 900 working women showed that their feelings changed throughout the day. The line graph shows 15 different times in a day and the average level of happiness for the women at each time. Based on the information given by the graph, represent the set using the roster method. {x|x is a time of the day when the average level of happiness is 3}

Solution

1) 0

2) the set is not the empty set

3) C {12,19,20}

4) the set is finite

5) as both the sets contains the same numbers (4,5,6,7 )

set A can be written as {4,5,6,7} ......in a set repetition is not possible.

=> the two sets are equal sets

they are equivalent as the no. of elements of A and B are equal.

option B, the sets are equivalent as n(A) = n(B)

7) here also

A = B = {90,91,92,93,94,95}

here alos the sets are quivalent and equal

equivalent in the sence that, n(A) = n(B)

option (B)

8) option C