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Byju's Answer
Standard VI
Mathematics
Roster Form
Write the fol...
Question
Write the following sets in Roster form
(i)
A
=
{
x
:
x
∈
N
,
2
<
X
≤
10
}
(ii)
B
=
{
x
:
x
∈
Z
,
−
1
2
<
X
<
11
2
}
(iii)
C
=
{
x
:
x
is a prime number and a divisor of 6 }
(iv)
X
=
{
x
:
x
=
2
n
,
n
∈
N
and
n
≤
5
}
(v)
M
=
{
x
:
x
=
2
y
−
1
,
y
≤
5
,
y
∈
W
}
(vi)
P
=
{
x
:
x
is an integer,
x
2
≤
16
}
Open in App
Solution
(i)
A
=
{
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
(ii)
B
=
{
0
,
1
,
2
,
3
,
4
,
5
}
(iii)
C
=
{
2
,
3
}
(iv)
X
=
{
2
,
4
,
8
,
16
,
32
}
(v)
M
=
{
−
1
,
1
,
3
,
5
,
7
,
9
}
(vi)
P
=
{
−
4
,
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
,
4
}
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0
Similar questions
Q.
Find the cardinal number of the following sets
(i)
A
=
{
x
:
x
=
5
n
,
n
∈
N
and
n
<
5
}
(ii)
B
=
{
x
:
x
is a consonant in English Alphabet
}
(iii)
X
=
{
x
:
x
is an prime number
}
(iv)
P
=
{
x
:
x
<
0
,
x
∈
W
}
(v)
Q
=
{
x
:
−
3
≤
x
≤
5
,
x
∈
Z
}
Q.
Find
A
∪
B
and
A
∩
B
for the following sets.
(i)
A
=
{
0
,
1
,
2
,
4
,
6
}
and
B
=
{
−
3
,
−
1
,
0
,
2
,
4
,
5
}
(ii)
A
=
{
2
,
4
,
6
,
8
}
and
B
=
∅
(iii)
A
=
{
x
:
x
∈
N
,
x
≤
5
}
and
B
=
{
x
:
x
is a prime number less than 11}
(iv)
A
=
{
x
:
x
∈
N
,
2
<
x
≤
7
}
and
B
=
{
x
:
x
∈
W
,
0
≤
x
≤
6
}
Q.
Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) { x : x is an even natural number} (ii) { x : x is an odd natural number} (iii) { x : x is a positive multiple of 3} (iv) { x : x is a prime number} (v) { x : x is a natural number divisible by 3 and 5} (vi) { x : x is a perfect square} (vii) { x : x is perfect cube} (viii) { x : x + 5 = 8} (ix) { x : 2 x + 5 = 9} (x) { x : x ≥ 7} (xi) { x : x ∈ N and 2 x + 1 > 10}
Q.
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
(i) {
x
:
x
is an even natural number}
(ii) {
x
:
x
is an odd natural number}
(iii) {
x
:
x
is a positive multiple of
3
}
(iv) {
x
:
x
is a prime number }
(v) {
x
:
x
is a natural number divisible by
3
and
5
}
(vi) {
x
:
x
is a perfect square }
(vii) {
x
:
x
is a perfect cube}
(viii)
{
x
:
x
+
5
=
8
}
(ix)
{
x
:
2
x
+
5
=
9
}
(x)
{
x
:
x
≥
7
}
(xi)
{
x
:
x
ϵ
N
a
n
d
2
x
+
1
>
10
}
Q.
Taking the set of natural numbers as the universal set, write down the complements of the following set:
(
i
)
{
x
:
x
is an even natural number
}
(
i
i
)
{
x
:
x
is an odd narutal number
}
(
i
i
i
)
{
x
:
x
is a positive multiple of
3
}
(
i
v
)
{
x
:
x
is a prime number
}
(
v
)
{
x
:
x
is a natural number divisible by 3 and 5
}
(
v
i
)
{
x
:
x
is a perfect square
}
(
v
i
i
)
{
x
:
x
is a perfect cube
}
(
v
i
i
i
)
{
x
:
x
+
5
=
8
}
(
i
x
)
{
x
:
2
x
+
5
=
9
}
(
x
)
{
x
:
x
≥
7
}
(
x
i
)
{
x
:
x
∈
N
and
2
x
+
1
>
10
}
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