|x + 2/x | < 3, then x belongs to
(-2,-1) U ( 1,2 )
(-∞, -2 ) U (-1, -1) U ( 2, ∞ )
(-2, 2 )
(-3, 3 )
If 3 < 3 t - 18 ≤ 18, then which one of the following is true?
15 ≤ 2 t + 1 ≤ 20
8 ≤ 2 t ≤ 12
8 ≤ t+1 ≤ 13
21≤ 3 t ≤ 24
|2x -3| < | x + 5 |, then x belongs to :
( -3, 5 )
( 5, 9 )
( -2/3, 8 )
( -8, 2/3 )
x2 -3 |x| + 2 < 0, then x belongs to
( 1,2 )
( -2, -1 )
( -2, -1 ) U ( 1, 2 )
If a/b < c/d, then
( a/b)2 < (c/d)2
None of these
If | x | < x , then:
x is a positive real number
x is a non negative real number
There is no x satisfying this inequality
x is a negative real number
As sinx < x and x< tanx in ( 0,π/2 ), so in the same interval,
Sinx < tanx
Sinx > tanx
sin2 x > tan 2 x
|sinx | > |tanx |
If a < b then,
a/(-2 ) < b/(-2)
a/2 > b/2
1/a < 1/b
a/-2 > b/-2
The set of values of x satisfying the inequalities ( x -1 ) ( x -2 ) < 0 and ( 3x - 7 ) ( 2x - 3 ) > 0 is
(1, 2 )
( 2, 7/3 )
( 1, 7/3 )
( 1, 3/2 )
If |x| > 5, then
0 < x < 5
x < -5 or x > 5
-5 < x < 5
x > 5