Subset Worksheets

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  • I know what are subsets and proper subsets.
  • I know the formula to find the number of subsets and proper subsets.

Given A = {a, b}, B = {a, b, c} and C = {a, b, c}
A ⊂ C (A is a proper subset of C)
A ⊆ C (A is a subset of C)
B ⊆ C (B is a subset of C)
B ⊄ C (B is not a proper subset of C)


Check out the following lesson on subsets if you need help.

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. Given K = {1, 2, 3, 4, 5, 6}, L = {2, 3, 5, 6}, M = {0, 1, 2, 3}, N = {6, 5, 4, 3, 2, 1}, P = {3, 6, 2, 5}, Q = {} and R = {3}, state whether each of the following is true (T) or false (F).

a) M ⊂ K
b) P ⊆ N
c) L ⊂ P
d) Q ⊆ M
e) K ⊂ N
f) P ⊆ L
g) R ⊄ N
h) N ⊈ K
i) P ⊈ K
j) R ⊆ L
k) N ⊆ K
l) M ⊄ N

2. Given P = {1, 2, 3, 4}, how many subsets will P have?

3. Let S = be the set of all vowels in the word “MATHEMATICS”, how many subsets will S have?

4. Given T = {y: y is a multiple of 7, y < 20}, how many subsets will T have?

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.
Mathway Calculator Widget

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