If x satisfies the inequations 2x - 7 < 11, 3x + 4 < -5, then x lies in the interval
(-∞, -3)
(-∞, 3)
(-∞, 2)
(-∞, ∞)
|2x -3| < | x + 5 |, then x belongs to :
( -3, 5 )
( 5, 9 )
( -2/3, 8 )
( -8, 2/3 )
Log 2 x > 4, then x belongs to
x > 4
x > 16
x > 8
None of these
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 )
Consider the following system of inequalities 5x + 3y ≥ 0 and y -2x < 2. The solution of the above inequalities does not contain only part of the
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
If |x| > 5, then
0 < x < 5
x < -5 or x > 5
-5 < x < 5
x > 5
x2 -3 |x| + 2 < 0, then x belongs to
( 1,2 )
( -2, -1 )
( -2, -1 ) U ( 1, 2 )
|3x + 7 | < 5, then x belongs to
( -4, -3 )
( -4, -2/3 )
(-5, 5)
( -5/3, 5/3 )
|x + 2/x | < 3, then x belongs to
(-2,-1) U ( 1,2 )
(-∞, -2 ) U (-1, -1) U ( 2, ∞ )
(-2, 2 )
(-3, 3 )
( x - 1 ) > 0
( x -2 ) > 0
(x - 2 ) < 0
( x - 1 ) > 0 if ( x -2 ) > 0