1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
If [x]≤ n ∀ n...
Question
If
[
x
]
≤
n
∀
n
∈
Z
.
Then choose the possible value(s) of
n
for which
x
=
6.6.
Where
[
.
]
denotes GIF.
A
7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
−
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
5.6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
6
As we know that if
[
x
]
≤
n
⇒
x
<
n
+
1
∀
n
∈
Z
.
⇒
n
+
1
>
x
⇒
n
>
x
−
1
Substituting
x
=
6.6
,
we get:
⇒
n
>
6.6
−
1
⇒
n
>
5.6
Thus,
n
can be any integer greater than
5.6.
From the given options,
6
and
7
are the possible values.
Suggest Corrections
0
Similar questions
Q.
If
x
<
n
∀
n
∈
Z
,
then
, where
[
.
]
denotes the GIF.
Q.
For any real number
x
,
[
x
]
>
n
∀
n
∈
Z
⇒
, where
[
.
]
denotes GIF.
Q.
For any real number
x
,
[
x
]
≤
n
∀
n
∈
Z
⇒
, where
[
.
]
denotes GIF.
Q.
[
x
]
≥
n
⇔
x
≥
n
,
where
n
∈
Z
,
x
∈
R
and
[
.
]
denotes GIF.
Q.
Choose the wrong relation where
[
]
denotes the greatest integer function and
n
∈
Z
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Alkynes - Preparation
Watch in App
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app