Bunuel wrote:
If x^(a - b) = 1, what is the value of x ?
(1) a ≠ b
(2) x > 0
Kudos for a correct solution.
three possibilities in which \(x^(^a ^- ^b^) = 1\)
Case 1: X=1
Case 2: X=-1 and A-B=Even
Case 3: X= Number and A-B=0
(1) a ≠ b
this option tell us that case 3 is not possible . we still have 2 cases left.
Insufficient.
(2) x > 0
this option tells us that Case 2 is not possible and left us with case 1 and case 3 so still
Insufficient.
Combining :
from 1 we know case 3 is not possible and from 2 we know that Case 2 is not possible so we are left with case 1 only . i.e. X=1
Sufficient.
Answer C.