given the following sets. a = {0, 1, 2, 3} b = {a, b, c, d} c = {0, a, 2, b} find a n b. a {0, 1, 2, 3} b {a, b, c, d} c {0, a, 2, b} d empty set e {0, a}
Answer:
d.Empty set
Step-by-step explanation:
We are given that sets
a={0,1,2,3}
b={a,b,c,d}
c={0,a,2,b}
We have to find \(a\cap b\)
We know that
\(a\cap b\)=The set of common numbers in set a and set b
\(a\cap b=\){0,1,2,3}\(\cap\){a,b,c,d}
\(a\cap b\)=\(\phi\) Because no number is common in given sets.
Hence, \(a\cap b=\phi\)
Where \(\phi\)=Empty set
Therefore, option d is true.