consider the sets.
A= {distinct letters in work Keep}
B= {13}
C= {k,e,p}
D= 1 in red + 1 in black}
E= {two}
F= {2}
What is the cardinality of each set?
A= I can not figure that one out
B= 1
C= 3
D= 0
E= t,w,o
F not sure
Can you give me some ideas
Thank you
Of course! Let's go through each set and determine its cardinality:
A = {distinct letters in "work Keep"}
To find the cardinality of set A, we need to count the number of distinct letters in the phrase "work Keep". Here, we have the letters 'w', 'o', 'r', 'k', 'K', 'e', 'p'. There are a total of 7 distinct letters, so the cardinality of set A is 7.
B = {13}
Set B contains only one element, which is the number 13. Therefore, the cardinality of set B is 1.
C = {k, e, p}
Set C contains three elements, namely 'k', 'e', and 'p'. So, the cardinality of set C is 3.
D = {1 in red + 1 in black}
The set D is a bit unclear based on the given information. If it means the combination of one red object and one black object, then the cardinality would be 1 since it consists of one pair of objects. However, if it refers to the set addition of the numbers 1 (in red) and 1 (in black), then the sum is 2, and the cardinality of set D would be 1 as well.
E = {two}
Set E contains only one element, which is the word 'two'. Therefore, the cardinality of set E is 1.
F = {2}
The set F contains only one element, which is the number 2. So, the cardinality of set F is 1 as well.
In summary:
A = 7
B = 1
C = 3
D = 1 (depending on the interpretation)
E = 1
F = 1
If you have any further questions, feel free to ask!