Checkpoint of Set Notations

Are these statements true or false?

Statement 1: 3 ∈ {1, 3, 5, 7}

True! The element 3 is an element of the set.

Statement 2: 1 ∈ {x: x is a prime number}

False! The element 1 is not a prime number and hence not an element of the set.

Statement 3: {x: x is a square} ∈ {x: x is a quadrilateral}

False! We can say that the set of square is a subset of the set of quadrilaterals but the set is not an element of the larger set.

Statement 4: If A ⊆ B and B ⊆ A, then A = B.

True!

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