Logic and sets
2010001406
Level:
C
All \(96\) children in the summer camp were to choose the chocolate champion - between milk chocolate and dark chocolate. At the end milk chocolate got \(30\) more votes than dark chocolate. \(26\) children couldn’t decide though and gave their votes to both chocolates. How many votes did dark chocolate get?
\(46\)
\( 76\)
\( 26\)
\( 82\)
2010001405
Level:
B
Find the set difference \(A\setminus B\)
for \(A = \{x\in \mathbb{Z}\ \colon \left |x\right | < 3\}\)
and \(B = \{x\in \mathbb{N}\ \colon x \geq 2\}\).
\(\{ - 2;-1;0;1\}\)
\( \emptyset \)
\(\{ 2\}\)
\(\{ - 2;-1;0\}\)
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.)
\( (-\infty;-6 ] \)
\( (-6;4) \)
\( [ 4 ;+\infty) \)
\( (-6;4 ] \)
2010001403
Level:
A
Find the set difference \( A\setminus B \) for \( A=\left\{x\in \mathbb{Z}\ \colon x^2=1\right\} \) and \( B=\{0;1;2;3\} \).
\( \{-1\} \)
\( \{0;1;2;3\} \)
\( \{0;2;3\} \)
\( \emptyset\)
2010001402
Level:
B
Find the set \( (B\setminus A) \cap C \) for \( A=[ -5;0) \), \( B=[ -1;10) \) and \( C=(-2;2 ] \).
\( [ 0;2]\)
\( ( 0;2]\)
\( [ -2;-1)\)
\( [ -5;2]\)
2010001401
Level:
B
Given the sets \(A =\mathbb{Z}\)
and \(B = \{x\in \mathbb{N}\ \colon x < 5\}\),
find the union \(A\cup B\).
\(\mathbb{Z}\)
\(\mathbb{N}\)
\(\emptyset \)
\( \{ 1;2;3;4\}\)
2010000602
Level:
A
Given the sets \(A = [ -8;3 ]\) and \(B =(0;10)\) find the set difference \(A \setminus B\).
\( [ -8;0 ] \)
\( [ -8;0 )\)
\( ( 0;10)\)
\( ( 0;3 ]\)
2010000601
Level:
B
Given the sets \(A = \{x\in \mathbb{Z}:x> - 1\}\)
and \(B = \{x\in \mathbb{N}: x\leq 3\}\) find the intersection \(A \cap B\).
\(\{1;2;3\}\)
\(\{0;1;2;3\}\)
\(\{1;2\}\)
\(\{-2;-1;0;1;2;3\}\)
Logical Statements
Submitted by ladislav.foltyn on Thu, 04/18/2019 - 11:23Question:
Mark the correct answer.