NAME - JASPREET KAUR CHAHAL

STUDENT ID - 500185965

Math 1044 In-Class Exercise 1

1.Express the following sets using the roster method:

a){x |x N and 15 < x < 21}

b){x |x N and x < 11}

c){x |x N and x 5}

SOL:

2.A sports facility took a poll of its 350 visitors to see which activities people enjoyed. The results were as follows: 178 liked to run, 154 liked to skateboard, 57 liked to roller skate, 49 liked to run and skateboard, 15 liked to run and roller skate, 2 liked to skateboard and roller skate, and 2 liked all three activities.

a.Use a Venn diagram to illustrate the survey's results.

Use the Venn diagram to determine how many of those surveyed enjoyed

b.exactly one of these activities.

c.none of these activities.

d.at least two of these activities.

e.skateboarding and roller skating, but not running.

f.skateboarding or roller skating, but not running.

g.only running.

3.Determine whether each statement is true or false. If the statement is false, explain why. a. {5} {1, 2, 3, 4, 5, 6}

b. If A={x|x is a day of the week} and B={2, 4, 6, ..., 14}, then sets A and B are equivalent. c. {2, 4, 6, 8} = {8,6,6,4,2}

d.{d, e, f, g} {a, b, c, d, e, f}

e.The empty set is a proper subset of any set, including itself.

4.use the Venn diagram to represent each set in roster form.

a. A'

b.

c.

5.Use the Venn diagram shown to determine whether the following statement is a theorem: