Free Printable Review for Test Chapter 2

1.

List the elements in the set.

\left\{x\ |\ x\ is\ an\ integer\ between\ -8\ and\ -4\right\}

a)

$\left\{-7,\ -6,\ -5\right\}$

b)

$\left\{-8,\ -7,\ -6,\ -5,\ -4\right\}$

c)

$\left\{-8,\ -7,\ -6,\ -5\right\}$

d)

$\left\{-7,\ -6,\ -5,\ -4\right\}$

2.

Write ths set-builder notation.

{2, 4, 6, 8}

a)

{x | x is an even natural number less than 10}

b)

{2, 4, 6, 8}

c)

{x | x is any even integer less than 10}

d)

{x | x is any even natural number}

3.

Write ths set-builder notation.

{15, 16, 17, 18}

a)

{x | x is an integer between 14 and 19}

b)

{15, 16, 17, 18}

c)

{x | x is an integer between 15 and 18}

d)

{x | x is an integer less than 19}

4.

Identify the set as finite or infinite.

{x | x is a counting number larger that 815}

a)

Finite

b)

Infinite

5.

Identify the set as finite or infinite.

{x | x is an odd counting number}

a)

Finite

b)

Infinite

6.

Find n(A) for the set.

A={200, 201, 202, ..., 2000}

a)

n(A)=1801

b)

n(A)=2000

c)

n(A)=1800

d)

n(A)= 4

7.

Determine whether or not the set is well defined.

{x | x is a low-fat ice cream}

a)

Not well defined

b)

Well defined

8.

Complete the blank with either $\in$ or $\notin$ to make the statement true.

0\ \ \ \ \ \left\{-1,\ 1,\ 3,\ 12,\ 22\right\}

a)

$\notin$

b)

$\in$

9.

Complete the blank with either $\in$ or $\notin$ to make the statement true.

\left\{7\right\}\ \ \ \ \ \left\{\left\{4\right\},\ \left\{5\right\},\ \left\{6\right\},\ \left\{7\right\},\ \left\{8\right\}\right\}

a)

$\notin$

b)

$\in$

10.

Use $\subseteq$ or $\not\subseteq$ in the blank to make a true statement.

{16, 23, 28} {14, 23, 28, 38}

a)

$\not\subseteq$

b)

$\subseteq$

11.

Find the number of subsets of the set.

{x | x is an even number between 19 and 31}

a)

64

b)

5

c)

32

d)

29

12.

Find the number of proper subsets of the set.

{x | x is an even number between 11 and 25}

a)

127

b)

24

c)

64

d)

128

13.

Let U={1, 2, 4, 5, a, b, c, d, e}. Find the complement of the set.

W={1, 5, e, d, a}

a)

{2, 4, b, c}

b)

{2, 3, 4, b, c}

c)

{2, 3, 4, a, b, c}

d)

{1, 2, 4, b, c}

14.

Tell whether the statement is true or false.

{59, 60, 59, 60} = {59, 60}

a)

True

b)

False

15.

Tell whether the statement is true or false.

{2, 12, 28, 10, 31} = {31, 12, 10, 82, 2}

a)

True

b)

False

16.

Let $U=\left\{\ 1,\ 2,\ 4,\ 5,\ a,\ b,\ c,\ d,\ e\right\}$ . Find the complement of the set.

$T=\left\{a,\ b,\ c,\ d\right\}$

a)

{1, 2, 4, 5, e}

b)

{1, 2, 3, 4, 5, e}

c)

{e}

d)

{1, 2, 4, 5}

17.

a)

{n, r, t}

b)

{h, n, r, t}

c)

{r, t}

d)

{c, h, n, r, s, t, w}

18.

Solve the problem.

List all the possible proper subsets of the set {2, 6, 7}.

a)

$∅,\ \left\{2\right\},\ \left\{6\right\},\ \left\{7\right\},\ \left\{2,\ 6\right\},\ \left\{2,\ 7\right\},\ \left\{6,\ 7\right\}$

b)

$∅,\ \left\{2\right\},\ \left\{6\right\},\ \left\{7\right\},\ \left\{2,6\right\},\ \left\{2,7\right\},\ \left\{6,7\right\},\ \left\{2,6,7\right\}$

c)

{2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}, {2, 6, 7}

d)

{2}, {6}, {7}, {2, 6}, {2, 7}, {6, 7}

19.

a)

{y, z}

b)

{q, s, v, w, x, y, z}

c)

{y}

d)

{w, y, z}

20.

a)

{q, s, w, y}

b)

{q, y, z}

c)

{q, r, w, y, z}

d)

{q, s, u, w, y, z}

Review for Test Chapter 2

Total questions: 20

Worksheet time: 2hrs 40mins

Similar Resources on Wayground