Discrete Math - 2.1 & 2.2 Set Theory Quiz Review

Match the following symbols to their meaning

• is an element of

• ∅

• empty set

• ∉

• is not an element of

• ∈

• is a subset of

• ⊆

• is a proper subset of

• ⊂

Match the following sets.

• {3, 4, 5}

• the set of natural numbers between 10 and 15 inclusive

• {10, 11, 12, 13, 14, 15}

• {x/x∈N and 2≤x≤6}

• ∅

• {x/x∈N and 2<x<6}

• {2, 3, 4, 5, 6}

• { }

• {11, 12, 13, 14}

• the set of natural numbers between 10 and 15

The set of the three best cities in the United States is a well-defined set.

• True
• False

The set of natural numbers less than 18 is a well-defined set.

• True
• False

Which of the following can also represent the set of natural numbers between 0 and 100 inclusive? (Select all that apply)

• {x/x∈N and 0<x<100}

• {x/x∈N and 0≤x≤100}

• {x/0≤x≤100}

• {x/0<x<100}

Tags

CCSS.HSA.CED.A.3

Write the set given in roster form:

Natural numbers less than 7

• {x/x∈N and x<7}

• {x/x∈N and x≤7}

• {1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5, 6, 7}

Write the set given in set-builder notation:

Natural numbers less than 7

• {x/x∈N and x<7}

• {x/x∈N and x≤7}

• {1, 2, 3, 4, 5, 6}

• {1, 2, 3, 4, 5, 6, 7}

How many subsets are the for the set: {Fall, Winter, Spring, Summer}?

Mathematical Equivalence

ON

How many distinct subsets are the for the set: {Fall, Winter, Spring, Summer}?

Mathematical Equivalence

ON

Organize these options into the right categories

Groups:

(a) True

,

(b) False

• 4 ⊆ {x/x∈N and x < 5}

• {4} ∈ {2, 4, 6, 8, 10}

• {2, 3, 4} ⊆ {x/x∈N and x < 5}

• {2, 3, 4} ⊂ {x/x∈N and x < 5}

• 4 ∈ {x/x∈N and x < 5}

• {3, 5, 7} ⊂ {3, 5, 7}