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 \( B = (0, 20) \).
\( [-8,0] \)
\( (-8,0) \)
\( [-8,0) \)
\( (-8,0] \)