Statement 1: |x - 5| > 0sud21 wrote:X<5?
1). |x-5|>0
2). x^2 + x <5
Hence, x can be anything except 5.
Not sufficient
Statement 2: (x² + x - 5) < 0
The roots of the equation (x² + x - 5) = 0 are (-1 ± √21)/2, i.e. both the roots are less than 5.
Now, to satisfy (x² + x - 5) < 0, all the values of x must lie between the roots of the above equation. As both the roots are less than 5, x must be less than 5 to satisfy the given condition.
Sufficient
The correct answer is B.
