Logic and sets

1003055601

Level:

Given the sets

A = [- 12; 12]

and

B = (3; 20)

find the set difference

A ∖ B

[- 12; 3]

(- 12; 3]

[- 12; 3)

(12; 20)

1003055602

Level:

Give the set difference

A ∖ B

for

A = [- 5; 7]

B = {7; 11}

[- 5; 7)

[- 5; 11)

[- 5; 7) \cup (7; 11)

[- 5; 7) \cup {11}

1003055603

Level:

Find the set difference

A ∖ B

for

A = {x \in Z : x^{2} = 4}

and

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

{- 2}

{- 1; 0; 1; 3}

{- 2; 2}

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

1003055604

Level:

Let

A = {0; 1; 2; 3}

B = {0; 1; 2}

and

C = {x : x = 3 k + l}

, where

k \in A

l \in B

. Which of the following sets specifies

C

by the list of all its elements?

{0; 1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11}

{4; 5; 6; 7; 8; 9; 10; 11}

[0; 11]

{0; 1; 2; 3}

1003055610

Level:

Let

A = (- 3; 5]

and

B = [- 1; + \infty)

. Find the intersection

A \cap B

[- 1; 5]

(- 1; 5)

(- 3; + \infty)

(- 1; 5]

1003055611

Level:

Let

A = (- 1; 5]

and

B = [- 1; 7)

. Give the union

A \cup B

[- 1; 7)

(- 1; 7)

(- 1; 5)

[- 1; 5]

1003055612

Level:

Find the intersection

A \cap B^{'}

A = (- 4; + \infty)

and

B = (- \infty; 6)

. (By

B^{'}

the complement of the set

B

is denoted.)

[6; + \infty)

(- 4; 6)

[- 4; 6]

(- \infty; 4]

1003055613

Level:

Give the intersection

A \cap B

A = [- 7; 1]

and

B = (1; 2)

\emptyset

{1}

[- 7; 2)

(- 7; 2)

1003055702

Level:

The set of all numbers that satisfy the following relations

(x \geq - 1) \land (x > - 2) \land (x < 3)

can be written as:

[- 1; 3)

R

[- 2; 3)

(- 2; - 1]

1003055704

Level:

Find the interval that is the difference of sets

A

and

B

A = [- 8; 12]

and

B = (0; 20)

[- 8; 0]

(- 8; 0)

[- 8; 0)

(- 8; 0]

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