Sets quiz

The number of subsets of a set with 4 elements is:

The power set of the empty set has:

A intersection A' is equal to:

A union U is equal to:

The interval [2, 5) contains:

The set {x : x is a natural number and x < 1} is:

The number of proper subsets of a set with 3 elements is:

A - B is equal to:

The complement of A' is:

The set of vowels in the word ENGLISH is:

Define a well-defined collection with an example and a non-example. (2 marks)

Write {x : x is an integer and -3 < x < 4} in roster form. (2 marks)

What is the difference between {0} and the empty set? (2 marks)

Write the set {2/3, 3/4, 4/5, 5/6} in set-builder form. (2 marks)

State whether the set of lines parallel to the x-axis is finite or infinite. (2 marks)

If A is a subset of B, what is A union B and A intersection B? (2 marks)

Write the interval {x : -4 < x <= 6} in interval notation. (2 marks)

Define the universal set with an example. (2 marks)

State De Morgan's laws. (2 marks)

If A = {a, b} and B = {a, b, c}, is A a subset of B? Is A a proper subset of B? (2 marks)

Write all the subsets of {a, b, c}. (3 marks)

If A = {x : x is a natural number and x <= 6} and B = {x : x is an even natural number less than 10}, find A intersection B and A - B. (3 marks)

Find the number of elements in the power set of a set with 5 elements. (3 marks)

If U = {a, b, c, d, e, f, g, h}, A = {a, b, c} and B = {c, d, e}, find (A union B)'. (3 marks)

If A = {3, 6, 9, 12, 15, 18, 21} and B = {4, 8, 12, 16, 20}, find A - B and B - A. (3 marks)

Read the passage and answer the questions. In a school, U is the set of all students of Class XI. A is the set of students in the music club and B is the set of students in the science club. Some students are in both clubs. (i) Describe A intersection B in words. (ii) Describe A union B in words. (iii) Describe (A union B)' in words. (5 marks)

Read the passage and answer the questions. A shop sells T-shirts in sizes S = {small, medium, large} and colours C = {red, blue}. A customer prefers M = {medium, large}. (i) Is M a subset of S? (ii) Find S - M. (iii) How many subsets of S are there? (5 marks)

Read the passage and answer the questions. The set A = {x : x is a real number and 1 <= x < 4} describes allowed tank levels in metres. (i) Write A as an interval. (ii) Is 4 in A? (iii) Show A on the number line. (5 marks)

Read the passage and answer the questions. U = {1, 2, 3, ..., 10}. A is the set of even numbers in U and B is the set of multiples of 3 in U. (i) List A and B. (ii) Find A intersection B. (iii) Find A' intersection B'. (5 marks)

Read the passage and answer the questions. A teacher writes P = {x : x^2 - 5x + 6 = 0} and Q = {2, 3}. (i) Write P in roster form. (ii) Are P and Q equal? (iii) Write the power set of Q. (5 marks)

Explain the roster and set-builder forms of a set with examples, and state the advantages of each. (6 marks)

Explain the empty set, finite and infinite sets, equal sets, subsets and the power set with examples. (6 marks)

Explain union, intersection, difference and complement of sets with Venn diagrams and examples. (6 marks)

State and verify De Morgan's laws using a suitable universal set and two subsets. (6 marks)

Explain intervals as subsets of R. Describe open, closed and half-open intervals and represent each on the number line. (6 marks)