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 \(B = \{x\in \mathbb{N},x < 5\}\).
\(\{ - 2,-1,0\}\)
\(\emptyset \)
\(\{- 2,-1\}\)
\(\{3,4\}\)