1003034304
Level:
B
Given the sets \( A=(-\infty;-5] \), \( B=[-5;0) \) and \( C=(-7;-1) \), find \( A\setminus(B\cap C) \).
\( (-\infty;-5) \)
\( (-\infty;-5] \)
\( [-5;-1) \)
\( (-\infty;0) \)
Logic and sets
1003034305
Level:
B
Let \( A=(-\infty;-4)\cup(2;+\infty) \) and \( B = [ 2;8 ) \). Give the intersection \( A'\cap B \).
\( \{2\} \)
\( \emptyset \)
\( (2;8) \)
\( [2;8) \)
1003034306
Level:
B
Choose another correct description of the set \( A=(-3;6)\cap(-2;+\infty)\cap\mathbb{Z} \).
\( A=\{-1;0;1;2;3;4;5\} \)
\( A=\{-2,-1;0;1;2;3;4;5\} \)
\( A=\{0;1;2;3;4;5\} \)
\( A=(-2;6) \)
1003034307
Level:
B
Choose the correct description of the set \( X=(22;31)\cap\mathbb{N} \).
It is a set with eight elements.
It is a set with ten elements.
It is an open interval.
It is a set of all natural numbers.
1003034308
Level:
B
Choose the correct description of the set \( X=[ -10;100 ]\cap\mathbb{Z} \).
It is a finite set.
It is a closed interval.
It is a set with \( 110 \) elements.
It is a set with even number of elements.
1003034309
Level:
B
Choose another correct description of the set \( X=(2;14)\cap\{2;4;6;8;10;12;14\} \).
\( X=\{4;6;8;10;12\} \)
\( X=\{2;4;6;8;10;12;14\} \)
\( X=(2;14) \)
\( X=[2;14] \)
1003034310
Level:
B
Find the union \( A'\cup B \) for \( A=(-1;7) \) and \( B=[-3;+\infty) \).
\( \mathbb{R} \)
\( [ -3;+\infty) \)
\( [-3;-1]\cup[7;+\infty) \)
\( (-3;-1)\cup(7;+\infty) \)
1003034311
Level:
B
Find the set difference \( A'\setminus B' \) for \( A=(-1;2] \) and \( B=[ -3;4) \).
\( [-3;-1]\cup(2;4) \)
\( [-3;-1]\cup[2;4] \)
\( (-3;-1)\cup[2;4] \)
\( (-3;-1]\cup(2;4] \)
1003034312
Level:
B
Choose another correct description of the set \( A=\left((-3;8)\setminus[5;9)\right)\cap\mathbb{N} \).
\( A=\{1;2;3;4\} \)
\( A=\{-3;-2;-1;0;1;2;3;4\} \)
\( A=\{0;1;2;3;4;5\} \)
\( A=\{1;2;3;4;5\} \)
1003034313
Level:
B
Find the set \( (B\setminus A) \cap C \) for \( A=(-10;2] \), \( B=[-2;8) \) and \( C=(0;4] \).
\( (2;4] \)
\( (-10;0] \)
\( [0;4] \)
\( (8;4] \)