2010000602
Level:
A
Given the sets \(A = [ -8;3 ]\) and \(B =(0;10)\) find the set difference \(A \setminus B\).
\( [ -8;0 ] \)
\( [ -8;0 )\)
\( ( 0;10)\)
\( ( 0;3 ]\)
Logic and sets
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.
Integers from a Set
Submitted by ladislav.foltyn on Wed, 04/17/2019 - 21:56Question:
Determine how many integers belong to the given set.
Set Operations with Intervals I
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 09:56Sets Specification
Submitted by ladislav.foltyn on Sat, 02/23/2019 - 09:451003034403
Level:
C
In a group of \( 100 \) people, \( 60 \) people like swimming, \( 50 \) people like horse-riding, \( 36 \) people like cycling. Further, \( 16 \) people like swimming and horse riding, \( 19 \) people like swimming and cycling, \( 15 \) people like horse-riding and cycling. How many people in the group enjoy only one of these activities?
\( 58 \)
\( 29 \)
\( 23 \)
\( 6 \)
1003034402
Level:
C
In a class of \( 31 \) pupils, \( 18 \) pupils learn Italian, \( 16 \) pupils learn Spanish and \( 12 \) pupils learn Portuguese. Now, \( 7 \) pupils learn Italian and Spanish, \( 9 \) pupils learn Italian and Portuguese and \( 5 \) pupils learn Spanish and Portuguese. Finally, \( 3 \) students do not learn any of these three languages. How many pupils learn all these languages?
\( 3 \)
\( 5 \)
\( 2 \)
\( 1 \)
1003034401
Level:
C
There are \( 47 \) students in a class. Among these students \( 22 \) are members of a sports club, \( 33 \) are members of a film club and \( 20 \) students joined a literary club. Further, \( 17 \) students are members of the sports club and the film club, \( 13 \) joined the film club and the literary club, \( 6 \) attend the sports club and the literary club. Only one student is a member of all the clubs. How many students from the class attend neither the sports club nor the literary club?
\( 11 \)
\( 7 \)
\( 36 \)
\( 4 \)
1003034313
Level:
B
Find the set \( (B\setminus A) \cap C \) for \( A=(-10;2] \), \( B=[-2;8) \) and \( C=(0;4] \).
\( (2;4] \)
\( (-10;0] \)
\( [0;4] \)
\( (8;4] \)