Logic and sets | math4u.vsb.cz

9000080901

Level:

B

Find the intersection

A \cap B

for

A = {- 5; 0; 1.5; 2; 6}

and

B = {x \in Z; x \geq 0}

.

{0; 2; 6}

{0; 1.5; 2; 6}

{1.5; 2; 6}

Z

9000080902

Level:

B

Given the sets

A = {x \in Z : x \geq - 2}

and

B = {x \in N : x \leq 5}

find the intersection

A \cap B

.

{1; 2; 3; 4; 5}

{0; 1; 2; 3; 4; 5}

{0; 1; 2; 3; 4}

{- 2; - 1; 0; 1; 2; 3; 4; 5}

9000080903

Level:

B

Find the union

A \cup B

for

A = {x \in Z; x \geq - 3}

and

B = {x \in N; x < 8}

.

{x \in Z; x \geq - 3}

{1; 2; 3; 4; 5; 6; 7}

{- 3; - 2; - 1; 0; 1; 2; 3; 4; 5; 6; 7}

Z

9000080904

Level:

B

Given the sets

A = N

and

B = {x \in Z : x > 8}

, find the union

A \cup B

.

N

\emptyset

{x \in Z; x > 8}

Z

9000080905

Level:

B

Identify the set

B

which satisfies

A \cup B = C

if

A = {x \in N; x < 3}

and

C = {0; 1; 2}

.

{0; 1; 2}, {0; 1}, {0; 2}, {0}

no solution exist

\emptyset

{0; 1; 2}, {0; 1}, {1; 2}, {0; 2}

9000080906

Level:

B

Find

B_{A}^{'}

(the complement to

B

in

A

) for

A = {x \in N; x < 9}

and

B = {4; 5; 6; 7}

.

{1; 2; 3; 8}

\emptyset

{4; 5; 6; 7}

{0; 1; 2; 3; 8}

9000080907

Level:

B

Find

B_{A}^{'}

(the complement to

B

in

A

) for

A = Z

and

B = {x \in Z; | x | > 3}

.

{- 3; - 2; - 1; 0; 1; 2; 3}

{- 2; - 1; 0; 1; 2}

{0; 1; 2; 3}

{1; 2; 3}

9000080908

Level:

B

Find the set difference

A ∖ B

for

A = {- 2; - 1; 0; 1; 2}

and

B = {x \in Z; x < 2}

.

{2}

{- 2; - 1; 0; 1; 2}

{0; 1}

\emptyset

9000080909

Level:

B

Find the set difference

B ∖ A

for

A = {x \in Z; x < 2}

and

B = {x \in Z; x < 5}

.

{2; 3; 4}

{x \in Z; x < 2}

{3; 4}

\emptyset

9000080910

Level:

B

Find the set difference

A ∖ B

for

A = {x \in Z; | x | < 3}

and

B = {x \in N; x < 5}

.

{- 2; - 1; 0}

\emptyset

{- 2; - 1}

{3; 4}