Working with Sets

Write the set in roster form:

N is the set of real numbers that are factors of 12.

• {2, 4, 6}

• {1, 2, 3, 4, 6}

• {1, 2, 3, 4, 6, 8, 12}

• {1, 2, 3, 4, 6, 12}

Write the set described below in set-builder notation:

S is the set of real numbers that are less than 15

• 0 < s < 15

• {s | s < 15}

• {s | -15< s < 15}

Write the solution of the inequality in set-builder notation:

5r + 8 < 63

• {r | r < 11}

• {r | r > 11}

• {r | r < 12}

• {r | r > 12}

List all subsets of the following set:

{1}

• No subsets

• {0}

• { };{1}

• { };{1};{0,1}

List all subsets of the following set:

{-2,2}

• {2};{-2};{-2,2}

• { };{2};{-2};{-2,2};{2,-2}

• { };{2};{-2};{-2,2}

• { };{2};{-2};{2,2};{-2,-2}

List all subsets of the following set:

{dog, cat, fish}

• {dog}; {cat}; {fish}

• {dog}; {cat}; {fish}; {dog, cat}; {dog, fish}

• { };{dog}; {cat}; {fish}; {dog, cat}; {dog, fish}

• { }; {dog}; {cat}; {fish}; {dog, cat}; {dog, fish}; {cat, fish}; {dog, cat, fish}

Suppose U={1,2,3,4,5,6,7,8} is the universal set and P = {2,4,6,8}

What is P' ?

• {0, 1, 3, 5, 7}

• {0, 1, 3, 5, 7, 9}

• {1, 3, 5, 7}

• { }

Suppose U={...-3,-2,-1,0,1,2,3} is the universal set and P = {...-3,-1,1,3}

What is P' ?

• {-2,0,2}

• {...-4,-2,0,2,4...}

• {...-4,-2,2,4...}

• {-4,-2,2,4}