1003055708
Level:
A
Let \( A = \{a; b; c; d; e; f\} \), \( B = \{a; g; b; h; i\} \). Determine the intersection \( A\cap B\).
\( \{a; b\} \)
\( \{a; b; c; d; e; f; g; h; i\} \)
\( \{ g; h; i\} \)
\( \{c; d; e; f\} \)
A
1003055707
Level:
A
Let \( A = \{a; b; c; d; e; f\} \), \( B = \{a; k; b; l\} \). Find the union \( A\cup B \).
\( \{a; b; c; d; e; f; k; l\} \)
\( \{a; b\} \)
\( \{ c; d; e; f\} \)
\( \{k; l\} \)
1003055706
Level:
A
Given the sets
\begin{gather*} A = \{ 3; 4; 5; 6; 7; 8\},\\ B = \{3; 4; 5; 6; 7\},\\ C = \{6; 7; 8; 9; 10;11\}, \end{gather*}
find the intersection \( A\cap B\cap C \).
\( \{ 6; 7\} \)
\( \{3; 4; 5; 6; 7; 8; 9; 10; 11\} \)
\( \{3; 4; 5; 6; 7\} \)
\( \{9; 10; 11\} \)
1003055705
Level:
A
Given the sets
\begin{gather*} A = \{1; 2; 3; 4; 5; 6; 7; 8; 9\},\\ B = \{3; 4; 5; 6; 7\},\\ C = \{6; 7; 8; 9; 10; 11; 12\}, \end{gather*}
find the union \( A\cup B\cup C \).
\( \{1; 2; 3; 4; 5; 6; 7; 8; 9;10; 11; 12\} \)
\( \{1; 2; 3; 4; 5; 6; 7; 8; 9\} \)
\( \{6; 7\} \)
\( \{1; 2; 10; 11; 12\} \)
1003055704
Level:
A
Find the interval that is the difference of sets \( A \) and \( B \) if \( A = [ -8; 12] \) and \( B = (0; 20) \).
\( [-8;0] \)
\( (-8;0) \)
\( [-8;0) \)
\( (-8;0] \)
1103055703
Level:
A
The diagram shows the sets \( A \) and \( B \). Find the union \( A\cup B \).
\( [ -3;4 ] \)
\( ( -3;4 ) \)
\( [ -1;2 ] \)
\( ( -1;2 ) \)
1003055702
Level:
A
The set of all numbers that satisfy the following relations
\[ (x \geq -1) \wedge (x > -2) \wedge (x < 3) \]
can be written as:
\( [ -1;3 ) \)
\( \mathbb{R} \)
\( [ -2;3) \)
\( (-2;-1] \)
1103028410
Level:
A
Identify which of the graphs represents the function \( f \) with the domain \( [-4; 2) \) and the range \( (-5; 3] \).
1103028409
Level:
A
The function \( f \) is given by the graph. Which of the statements about the domain and the range of the function \( f \) is true?
\( D(f) =[-3;4]; H(f)=[-2;2)\cup(2; 3]\cup\{5\} \)
\( D(f) =[-3;1)\cup(1; 4]; H(f)=[-2; 2)\cup(2; 3] \)
\( D(f)=[-3;4]; H(f)=[-2;5] \)
\( D(f) =[-3;4]; H(f)=[-2;3]\cup\{5\} \)
1103028408
Level:
A
The function \( f \) is given by the graph.
Which of the statements about the domain and the range of the function \( f \) is true?
\( D(f) =(-2;3]; H(f)= (-1;3] \)
\( D(f) =(-1;3] ; H(f)=(-2;3] \)
\( D(f) =(-2;3] ; H(f)=(-1;1.5] \)
\( D(f) =[-2;3] ; H(f)=[-1;3] \)