1003055601
Level:
A
Given the sets \( A=[ -12;12 ] \) and \( B=(3;20) \) find the set difference \( A\setminus B \).
\( [ -12;3 ] \)
\( ( -12;3 ] \)
\( [ -12;3 ) \)
\( ( 12;20 ) \)
Logic and sets
1003055602
Level:
A
Give the set difference \( A\setminus B \) for \( A = [ -5;7 ] \), \( B=\{7;11\} \).
\( [ -5;7 ) \)
\( [ -5;11) \)
\( [ -5;7 )\cup(7;11) \)
\( [ -5;7 )\cup\{11\} \)
1003055603
Level:
A
Find the set difference \( A\setminus B \) for \( A=\left\{x\in \mathbb{Z}\colon x^2=4\right\} \) and \( B=\{-1;0;1;2;3\} \).
\( \{-2\} \)
\( \{-1;0;1;3\} \)
\( \{-2;2\} \)
\( \{-2;-1;0;1;2;3\} \)
1003055604
Level:
A
Let \( A=\{0;1;2;3\} \), \( B=\{0;1;2\} \) and \( C=\{x\colon x=3k+l\} \), 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:
A
Let \( A=(-3;5] \) and \( B=[-1;+\infty) \). Find the intersection \( A\cap B \).
\( [ -1;5] \)
\( (-1;5) \)
\( (-3;+\infty) \)
\( (-1;5] \)
1003055611
Level:
A
Let \( A=(-1;5] \) and \( B=[ -1;7) \). Give the union \( A\cup B\).
\( [ -1;7 ) \)
\( ( -1;7 ) \)
\( ( -1;5 ) \)
\( [ -1;5] \)
1003055612
Level:
A
Find the intersection \( A\cap B' \) if \( A=(-4;+\infty) \) and \(B=(-\infty;6) \). (By \(B'\) the complement of the set \( B \) is denoted.)
\( [ 6;+\infty) \)
\( (-4;6) \)
\( [-4;6] \)
\( (-\infty;4] \)
1003055613
Level:
A
Give the intersection \( A\cap B \) if \( A=[-7;1] \) and \( B=(1;2) \).
\( \emptyset \)
\( \{1\} \)
\( [-7;2) \)
\( (-7;2) \)
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:
\( [ -1;3 ) \)
\( \mathbb{R} \)
\( [ -2;3) \)
\( (-2;-1] \)
1003055704
Level:
A
Find the interval that is the difference of sets \( A \) and \( B \) if \( A = [ -8; 12] \) and \( B = (0; 20) \).
\( [-8;0] \)
\( (-8;0) \)
\( [-8;0) \)
\( (-8;0] \)