1103055703
Level:
A
The diagram shows the sets \( A \) and \( B \). Find the union \( A\cup B \).
\( [ -3;4 ] \)
\( ( -3;4 ) \)
\( [ -1;2 ] \)
\( ( -1;2 ) \)
Logic and sets
1103055714
Level:
A
In the diagram below yellow colour represents
the difference of sets \( A \) and \( B \)
the intersection of sets \( A \) and \( B \)
the difference of sets \( B \) and \( A \)
the union of sets \( A \) and \( B \)
2010000602
Level:
A
Given the sets \(A = [ -8;3 ]\) and \(B =(0;10)\) find the set difference \(A \setminus B\).
\( [ -8;0 ] \)
\( [ -8;0 )\)
\( ( 0;10)\)
\( ( 0;3 ]\)
2010001403
Level:
A
Find the set difference \( A\setminus B \) for \( A=\left\{x\in \mathbb{Z}\ \colon x^2=1\right\} \) and \( B=\{0;1;2;3\} \).
\( \{-1\} \)
\( \{0;1;2;3\} \)
\( \{0;2;3\} \)
\( \emptyset\)
2010001404
Level:
A
Find the intersection \( A\cap B' \) if \( A=(-\infty;4) \) and \(B=(-6;+\infty) \). (By \(B'\) the complement of the set \( B \) is denoted.)
\( (-\infty;-6 ] \)
\( (-6;4) \)
\( [ 4 ;+\infty) \)
\( (-6;4 ] \)
9000086603
Level:
A
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition
\[
\neg a \wedge b
\]
is true.
The statement \(a\)
is false, \(b\)
is true.
Both statements are true.
The statement \(a\)
is true, \(b\)
is false.
Both statements are false.
9000148906
Level:
A
Each candidate in a tender is fluent in at least one out
of two required languages (English and French). There are
\(20\) candidates fluent
in English and \(14\)
candidates fluent in French. From these amounts
\(10\)
candidates are fluent in both languages. How many candidates are there in the
tender?
\(24\)
\(34\)
\(14\)
\(44\)
1003034301
Level:
B
Given the sets \( A=(-1;+\infty) \) and \( B=[-3;6) \), find the intersection \( A'\cap B \).
\( [-3;-1] \)
\( [-1;6) \)
\( [-3;-1) \)
\( (-3;-1) \)
1003034302
Level:
B
Given the sets \( A=(-6;2] \), \( B=[-2;8) \) and \( C=(0;3] \), determine \( (A\cap B)\setminus C \).
\( [-2;0] \)
\( [-2;0) \)
\( [-6;8) \)
\( (-6;0)\cup(3;8) \)
1003034303
Level:
B
Let \( A=(-\infty;2] \), \( B=[-4;3) \) and \( C=(-\infty;2] \). Determine \( (A\cup B)\setminus C \).
\( (2;3) \)
\( [2;3) \)
\( (-\infty;-4) \)
\( (-\infty;3) \)