Set Theory Basics: Definitions and Types

Which of the following is a well-defined set?

• The set of all tall people.

• The set of all intelligent students.

• The set of all even numbers less than 10.

• The set of all interesting books.

Which of the following is an element of the set of vowels in the English alphabet?

• B

• C

• E

• F

Which of the following is an example of a finite set?

• The set of all stars in the sky.

• The set of all natural numbers.

• The set of all grains of sand on a beach.

• The set of all days in a week.

Which of the following is an example of an infinite set?

• The set of all letters in the English alphabet.

• The set of all countries in the world.

• The set of all integers.

• The set of all months in a year.

What is the empty set denoted by?

• {0}

• 0

• {} or Ø

• None of the above

Which set contains all the elements under consideration in a particular context?

• Finite set

• Infinite set

• Empty set

• Universal Set

How would you represent the set of all even numbers between 1 and 10 using the description method?

• {2, 4, 6, 8}

• {x | x is an even number}

• {x | x is an even number between 1 and 10}

• {x | x is a number between 1 and 10}

How would you represent the set of primary colors using the roster method?

• {x | x is a primary color}

• {red, blue, yellow}

• {colors}

• {primary}

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

• {3}

• {1, 2, 4, 5}

• {1, 2, 3, 4, 5}

• {}

If A = {a, b, c, d} and B = {c, d, e, f}, what is A ∩ B?

• {a, b, e, f}

• {a, b, c, d, e, f}

• {c, d}

• {}