1003047503
Level:
B
Choose the sequence with the limit equal to \( -5 \).
\( (0.15^n-5)_{n=1}^{\infty} \)
\( ((-5)^n-0.15)_{n=1}^{\infty} \)
\( (5^n-5)_{n=1}^{\infty} \)
\( (5^n+5)_{n=1}^{\infty} \)
\( (-0.15^n+5)_{n=1}^{\infty} \)
B
1003034313
Level:
B
Find the set \( (B\setminus A) \cap C \) for \( A=(-10,2] \), \( B=[-2,8) \) and \( C=(0,4] \).
\( (2,4] \)
\( (-10,0] \)
\( [0,4] \)
\( (8,4] \)
1003034312
Level:
B
Choose another correct description of the set \( A=\left((-3,8)\setminus[5,9)\right)\cap\mathbb{N} \).
\( A=\{1,2,3,4\} \)
\( A=\{-3,-2,-1,0,1,2,3,4\} \)
\( A=\{0,1,2,3,4,5\} \)
\( A=\{1,2,3,4,5\} \)
1003034311
Level:
B
Find the set difference \( A'\setminus B' \) for \( A=(-1,2] \) and \( B=[ -3,4) \).
\( [-3,-1]\cup(2,4) \)
\( [-3,-1]\cup[2,4] \)
\( (-3,-1)\cup[2,4] \)
\( (-3,-1]\cup(2,4] \)
1003034310
Level:
B
Find the union \( A'\cup B \) for \( A=(-1,7) \) and \( B=[-3,+\infty) \).
\( \mathbb{R} \)
\( [ -3,+\infty) \)
\( [-3,-1]\cup[7,+\infty) \)
\( (-3,-1)\cup(7,+\infty) \)
1003034309
Level:
B
Choose another correct description of the set \( X=(2,14)\cap\{2,4,6,8,10,12,14\} \).
\( X=\{4,6,8,10,12\} \)
\( X=\{2,4,6,8,10,12,14\} \)
\( X=(2,14) \)
\( X=[2,14] \)
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.
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.
1003034306
Level:
B
Choose another correct description of the set \( A=(-3,6)\cap(-2,+\infty)\cap\mathbb{Z} \).
\( A=\{-1,0,1,2,3,4,5\} \)
\( A=\{-2,-1,0,1,2,3,4,5\} \)
\( A=\{0,1,2,3,4,5\} \)
\( A=(-2,6) \)
1003034305
Level:
B
Let \( A=(-\infty,-4)\cup(2,+\infty) \) and \( B = [ 2,8 ) \). Give the intersection \( A'\cap B \).
\( \{2\} \)
\( \emptyset \)
\( (2,8) \)
\( [2,8) \)