Question

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 1

d empty set
..........................

Answer 2

d.Empty set

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.