Hi,
I am having some problems with SET related questions ... but I am trying ... Maybe someone can help me with this one:
================================
The sets A and B are “disjoint” if:
A ∩ B = ∅
Given:
V = { x ∈ ℤ|1 ≤ x ≤ 14}
A = { x ∈ V|x is a multiple of 2}
B = { x ∈ V|x is a multiple of 3}
C = { x ∈ V|x is a multiple of 5}
D = ∅
Indicate if the following sets are disjoint or not.
A and B
B and C
A and C
C and D
================================
I know that this is very important to determine the answers:
V = { x ∈ ℤ|1 ≤ x ≤ 14}
- x consists of integers (ℤ)
- 1 is equal or less then x and x is equal or less then 14
I I am correct D is a set with empty elements and we conclude that "C and D" is a Disjoint right?
Thanks,
Find the Lowest Common Multiple
for example A= 2,4,6,8,10,12,14
B=3,6,9,12
6 is common to both.So it can't be disjoint.
If you write each set out you will see what was common, or find the LCM(shorter method)
Remember that all the numbers in the set A,B,C cannot exceed 14.... therefore B and C are Disjoint, since 15 is common to both