Practice Subset in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Set A is a subset of set B if every element of A is also an element of B, written A \subseteq B.
Every single thing in A can also be found inside B. Think of A as fitting entirely within B, like a small circle inside a big one.
Example 1
easyLet A = \{1, 2, 3, 4, 5\} and B = \{2, 4\}. Determine whether B \subseteq A.
Example 2
mediumList all subsets of S = \{a, b, c\}.
Example 3
easyLet X = \{1, 2, 3\} and Y = \{1, 2, 3, 4, 5\}. Is X \subseteq Y? Is Y \subseteq X?
Example 4
easyLet A = \{1, 3\} and B = \{1, 2, 3, 4\}. Is A \subseteq B? Is B \subseteq A?