Introduction to set 2

This set {1,2,3} is equal to ___
Select all correct options.

• {3,2,1}

• {1,2}

• {3,1,2}

• {2,3,3}

A={prime number less than 6} is equal to ___

• {1,2,3,5}

• {2,3,5}

• {1,3,5}

• {1,2,3}

A={rational numbers greater than 12}
B={13, 14, 15, ...}
Choose all correct options.

• A is equal to B

• A is not equal to B

• B is a subset of A

• A is a subset of B

Explain why 2 ∈{2,3,5} is true.

{2} ⊆ { -1, 0, 1, 2}.
Choose all correct options.

• The set 2 is a subset of {-1, 0, 1, 2}

• {-1, 0, 1, 2} is a subset of {2}.

• {2 } is not equal to {-1, 0, 1, 2}

• 2 is an element of {-1, 0, 1, 2}

{3} ∈ {-4, 3, 9}
Choose all correct options.

• The above state in false because there should not be bracket for an element.

• The above statement is true because 3 is an element of {-4, 3, 9}

• The above statement is true because set {3} is a subset of {-4, 3, 9}

• The above state in false because instead of ∈, we should have ⊆.

3 ∈ { 10, 20, 30} '

• The statement is true.

• The statement is false.

10 ∈ { 10, 20, 30} '

• The statement is true.

• The statement is false.

{3} ⊆ { 10, 20, 30} '
Choose all correct options.

• The statement is true.

• The statement is false.

• The set {3} is a subset of the complement of {10, 20, 30}

• The set {3} is not a subset of the complement of {10, 20, 30}

If A ⊆ B and B ⊆ C then what can we conclude about the relationship between set A and set C?