9000080901
Level:
B
Find the intersection \(A \cap B\)
for \(A = \{ - 5;0;1.5;2;6\}\)
and \(B = \{x\in \mathbb{Z};x\geq 0\}\).
\(\{0;2;6\}\)
\(\{0;1.5;2;6\}\)
\(\{1.5;2;6\}\)
\(\mathbb{Z}\)
Logic and sets
9000080902
Level:
B
Given the sets \(A = \{x\in \mathbb{Z}:x\geq - 2\}\)
and \(B = \{x\in \mathbb{N}: x\leq 5\}\) find the intersection \(A \cap B\).
\(\{1;2;3;4;5\}\)
\(\{0;1;2;3;4;5\}\)
\(\{0;1;2;3;4\}\)
\(\{ - 2;-1;0;1;2;3;4;5\}\)
9000080903
Level:
B
Find the union \(A\cup B\)
for \(A = \{x\in \mathbb{Z};x\geq - 3\}\)
and \(B = \{x\in \mathbb{N};x < 8\}\).
\(\{x\in \mathbb{Z};x\geq - 3\}\)
\(\{1;2;3;4;5;6;7\}\)
\(\{ - 3;-2;-1;0;1;2;3;4;5;6;7\}\)
\(\mathbb{Z}\)
9000080904
Level:
B
Given the sets \(A =\mathbb{N}\)
and \(B = \{x\in \mathbb{Z}\colon x > 8\}\),
find the union \(A\cup B\).
\(\mathbb{N}\)
\(\emptyset \)
\(\{x\in \mathbb{Z};x > 8\}\)
\(\mathbb{Z}\)
9000080905
Level:
B
Identify the set \(B\)
which satisfies
\[
A\cup B = C
\]
if \(A = \{x\in \mathbb{N};x < 3\}\) and
\(C = \{0;1;2\}\).
\(\{0;1;2\},\ \{0;1\},\ \{0;2\},\ \{0\}\)
no solution exist
\(\emptyset \)
\(\{0;1;2\},\ \{0;1\},\ \{1;2\},\ \{0;2\}\)
9000080906
Level:
B
Find \(B'_{A}\) (the
complement to \(B\)
in \(A\))
for \(A = \{x\in \mathbb{N};x < 9\}\)
and \(B = \{4;5;6;7\}\).
\(\{1;2;3;8\}\)
\(\emptyset \)
\(\{4;5;6;7\}\)
\(\{0;1;2;3;8\}\)
9000080907
Level:
B
Find \(B'_{A}\) (the
complement to \(B\)
in \(A\))
for \(A =\mathbb{Z}\)
and \(B = \{x\in \mathbb{Z};\left |x\right | > 3\}\).
\(\{ - 3;-2;-1;0;1;2;3\}\)
\(\{ - 2;-1;0;1;2\}\)
\(\{0;1;2;3\}\)
\(\{1;2;3\}\)
9000080908
Level:
B
Find the set difference \(A\setminus B\)
for \(A = \{ - 2;-1;0;1;2\}\)
and \(B = \{x\in \mathbb{Z};x < 2\}\).
\(\{2\}\)
\(\{ - 2;-1;0;1;2\}\)
\(\{0;1\}\)
\(\emptyset \)
9000080909
Level:
B
Find the set difference \(B\setminus A\)
for \(A = \{x\in \mathbb{Z};x < 2\}\)
and \(B = \{x\in \mathbb{Z};x < 5\}\).
\(\{2;3;4\}\)
\(\{x\in \mathbb{Z};x < 2\}\)
\(\{3;4\}\)
\(\emptyset \)
9000080910
Level:
B
Find the set difference \(A\setminus B\)
for \(A = \{x\in \mathbb{Z};\left |x\right | < 3\}\)
and \(B = \{x\in \mathbb{N};x < 5\}\).
\(\{ - 2;-1;0\}\)
\(\emptyset \)
\(\{- 2;-1\}\)
\(\{3;4\}\)