1. Use set notation to list the elements for natural numbers divisible by 4
a. {4,44,444, ....}
b. {..,-8,-4, 0,4,8.....}
c. {4,8,12.....}
d. {1,2,3,4.....}
2. Which of the following is a subset of Z = {5,10,15,20,.....}
a. {-5,0,5}
b. {10,20...}
c. {2,4,6....}
d. {3,6,9...}
3. Find the cardinality of the set A = {the letters in the word MATH}
a. 4
b. {M,A,T,H}
c. {B,C,D,E,F,G,I,J,K,L,N,O,P,Q,R,S,U,V,W,X,Y,Z}
d. 0
(c)Originally Posted by Retiredyoung24@yahoo.com
Because natural numbers as,
Of these (c) fits the condition though it should have included the element 0.
(b) any element of form 10k is 5(2k) is also of form 5k.2. Which of the following is a subset of Z = {5,10,15,20,.....}
a. {-5,0,5}
b. {10,20...}
c. {2,4,6....}
d. {3,6,9...}
Cardinality is NOT a set is is a number (finite or infinite) in this case 4.3. Find the cardinality of the set A = {the letters in the word MATH}
a. 4
b. {M,A,T,H}
c. {B,C,D,E,F,G,I,J,K,L,N,O,P,Q,R,S,U,V,W,X,Y,Z}
d. 0
The answer to this depends on who you talk to. For someand for others
.
Presumably your book has the former for the definition of the set of natural numbers. So we can see that option a doesn't contain all natural numbers divisible by 4, b contains negative numbers, and d is just all natural numbers. So the answer is c.
A subset contains only elements of the set, but may not contain all of them. So a contains negative elements, and c and d contain elements that are not in Z. So the answer is b.
The cardinality of a set with a finite number of elements is just the number of elements. This set has 4 elements, so the answer is a.
-Dan
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