Advertisements
Advertisements
Question
If U = {a, b, c, d, e, f, g, h}, find the complements of the following set:
A = {a, b, c}
Solution
A’ = U – A
= {a, b, c, d, e, f, g, h} – {a, b, c}
A’ = {d, e, f, g, h}
APPEARS IN
RELATED QUESTIONS
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find A'
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find B'
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A ∪ B)'
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (A')'
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (B -C)'
If U = {a, b, c, d, e, f, g, h}, find the complements of the following set:
B = {d, e, f, g}
If U = {a, b, c, d, e, f, g, h}, find the complements of the following set:
C = {a, c, e, g}
If U = {a, b, c, d, e, f, g, h}, find the complements of the following set:
D = {f, g, h, a}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is an even natural number}
If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that (A ∪ B)' = A' ∩ B'
Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A'?
Fill in the blank to make the following a true statement:
A ∪ A' = _____
Fill in the blank to make the following a true statement:
Φ′ ∩ A = _____
Fill in the blank to make the following a true statement:
A ∩ A' = _____
Fill in the blank to make the following a true statement:
U' ∩ A = _____
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a positive multiple of 3}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a perfect square}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is perfect cube}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x + 5 = 8}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : 2x + 5 = 9}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x ≥ 7}
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x ∈ N and 2x + 1 > 10}
