1003055611
Level:
A
Let \( A=(-1,5] \) and \( B=[ -1,7) \). Give the union \( A\cup B\).
\( [ -1,7 ) \)
\( ( -1,7 ) \)
\( ( -1,5 ) \)
\( [ -1,5] \)
A
1003055610
Level:
A
Let \( A=(-3,5] \) and \( B=[-1,+\infty) \). Find the intersection \( A\cap B \).
\( [ -1,5] \)
\( (-1,5) \)
\( (-3,+\infty) \)
\( (-1,5] \)
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?
\( \{0,1,2,3,4,5,6,7,8,9,10,11\} \)
\( \{4,5,6,7,8,9,10,11\} \)
\( [ 0,11 ] \)
\( \{0,1,2,3\} \)
1003055603
Level:
A
Find the set difference \( A\setminus B \) for \( A=\left\{x\in \mathbb{Z}\colon x^2=4\right\} \) and \( B=\{-1,0,1,2,3\} \).
\( \{-2\} \)
\( \{-1,0,1,3\} \)
\( \{-2,2\} \)
\( \{-2,-1,0,1,2,3\} \)
1003055602
Level:
A
Give the set difference \( A\setminus B \) for \( A = [ -5,7 ] \), \( B=\{7,11\} \).
\( [ -5,7 ) \)
\( [ -5,11) \)
\( [ -5,7 )\cup(7,11) \)
\( [ -5,7 )\cup\{11\} \)
1003055601
Level:
A
Given the sets \( A=[ -12,12 ] \) and \( B=(3,20) \) find the set difference \( A\setminus B \).
\( [ -12,3 ] \)
\( ( -12,3 ] \)
\( [ -12,3 ) \)
\( ( 12,20 ) \)
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 \( B \)
1003055713
Level:
A
Choose the correct expression.
\( \{d\}\cup \{d\}\cup \{d\} = \{d\} \)
\( \{d\}\cup \{d\}\cup \{d\} = \{ddd\} \)
\( \{d\}\cup \{d\}\cup \{d\} = \{d,d\} \)
\( \{d\}\cup \{d\}\cup \{d\} = \{d,d,d\} \)
1003055712
Level:
A
The set \( A \) is the set of all divisors of \( 12 \), the set \( B \) is the set of all divisors of \( 6 \). Which relation is correct?
\( B\subset A\)
\( A\subset B\)
\( A=B \)
\( A\cup B=\{1,2,3,6,12\} \)
1003055711
Level:
A
Determine the set of all common divisors of numbers \( 24 \) and \( 18 \).
\( \{ 1,2,3,6 \} \)
\( \{ 1,2,3,4,6,8,9,12,18,24 \} \)
\( \{ 2,3,6 \} \)
\( \{ 1,2,3,4,6,9,12 \} \)