Elements of Sets Worksheets

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  • I know whether an element is a member of a set.
  • How many elements in a given set?

∈ denotes “is an element of’ or “is a member of” or “belongs to”.
∉ denotes “is not an element of” or “is not a member of” or “does not belong to”
For the set A = {1, 3, 5}
a) 1 ∈ A
b) 2 ∉ A
If A is the set of positive integers less than 12 then
the number of elements is set A is 11
If Q is the set of letters in the word ‘HELLO’ then
the numbers of elements in Q is 4.

Check out the following lessons on sets if you need help.
Set Notations
Finite & Infinite sets
Empty Set

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. State whether each of the following statements is true (T) or false (F).

a) 60° ∈ { x : x is an acute angle}

b) 3124 ∈ { x : x is a multiple of 3}

c) 5 ∉ { x : x is an even number}

d) 2.62 ∈ { x : x is an integer}

e) –213 ∉ {x : x is an integer}

f) 5 ∈ {x : x is a prime number, x < 10}

2. Give the number of elements in each of the following sets.

a) Q is the set of vowels

b) R = {x : x is an integer, 21 ≤ x ≤ 30}

c) S is the set of months with 31 days

d) T = {x : x is a factor of 100}

e) U is the set of letters in the word “GOOGLE”

f) G = {Ø}

g) H = {0}

h) I = Ø

i) J = { null }

j) A is the set of odd numbers between 18 and 30.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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