Lesson 5: Working with sets Unit 4: solving inequalities

Choose the correct solution in roster form.
S is the set prime numbers that are less than 15.

{2, 3, 5, 7, 11, 13}

Write the solution to the inequality in set-builder notation.
9t-4>32

{t | t>4}

Suppose U= { 1,2,3,4,5,6,7,8,9,10} is the universal set and Q = {3,6,8}. What is Q'?

When is says Q' it means that the numbers that Q has, must not be in the set of the universal set ( U ) making the answer {1,2,4,5,7,8,10}

Suppose U = {1,2,3,4,5,6,7,8}, A= { 1,3,5,7} and B= {4,5,6}. Tell whether each statement is true for the next two questions

See next two

A � B

FALSE

B � U

TRUE

Write the set in roster form
N is the set of real numbers that are factors of 12

{1,2,3,4,6,12}

Write the set described below in set-builder notation:
s is the set of real number that are less than 15

{s | s < 15}

Write the solution of the inequality in set builder notation
5t + 8<63

{r|r<11}

Set builder notation solution
7-3d>28

{d|d<-7}

2(3p-11)>-16

{p|p>1}

List subsets of the following set:
{1}

{ } , { 1}

Subset of
{-2,2}

{ };{-2};{2};{-2,2}

Subsets of
{dog, cat, 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'

{1,3,5,7}

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

{...-4,-2,0,2,4,...}

Subsets of
{dog, cat, fish}

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