prashant misra wrote:i thought the answer to be D but i mistook the question as it also includes real values.gmat guru i understood the statements individually but how come -1<x<1
When we evaluate the two statements together, we may consider only values that satisfy both statements.
Two ranges satisfy statement 1: 0 < a < 1 or a < -1.
One range satisfies statement 2: -1 < a < 1.
In statement 1 it is possible that a < -1, but statement 2 requires that a > -1.
Since a number cannot be both less than -1 and greater than -1 at the same time, there are no negative values that satisfy both statements.
If
a is not negative, then statement 1 requires that 0 < a.
Both statements require that a < 1.
Thus, the only range that satisfies both statements is 0 < a < 1.
Thus, we know that a > 0.
Sufficient.
The correct answer is
C.
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