10
You visited us
10
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Linear Equation in One Variable
Find the grea...
Question
Find the greatest integer
x
satisfying the inequality
2
x
+
1
3
−
3
x
−
1
2
>
1.
Open in App
Solution
given equation is
2
x
+
1
3
−
3
x
−
1
2
>
1
⇒
=
5
−
5
x
6
>
1
⇒
5
−
5
x
>
6
⇒
x
<
−
1
5
therefore the greatest integer which satisfies the equation is
x
=
−
1
Suggest Corrections
0
Similar questions
Q.
Find the greatest integer
x
satisfying
2
x
+
1
3
−
3
x
−
1
2
>
1
Q.
Range of
x
satisfying the inequality
[
sin
−
1
x
]
>
[
cos
−
1
x
]
is
([.] represents the Greatest Integer function)
Q.
Solve the inequation
2
2
x
2
−
10
x
+
3
+
6
x
2
−
5
x
+
1
≥
3
2
x
2
−
10
x
+
3
find the number of integers satisfying the inequation.
Q.
Find the greatest integer
c
which satisfies the inequality:
1
<
(
c
−
1
)
2
<
36
Q.
Which of the followings set of intervals of
x
satisfying the inequality
[
tan
−
1
x
]
2
−
3
[
tan
−
1
x
]
2
+
1
2
>
0
(where
[
.
]
denotes greatest integer function)
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
Linear Equation in One Variable
MATHEMATICS
Watch in App
Explore more
Linear Equation in One Variable
Standard VIII Mathematics
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
AI Tutor
Textbooks
Question Papers
Install app