grandh01 wrote:If x is a positive number, what is the
value of x ?
(1) | x - 2 | = 1
(2) x 2 = 4x − 3
OA is E

Target question: What is the value of x?

Statement 1: |x - 2| = 1
This yields two cases:
case a: x-2 = 1, which means x=3
case b: x-2 = -1, which means x=1
Since we can't answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: x^2 = 4x − 3
Solve for x.
x^2 - 4x + 3 = 0
Factor: (x-3)(x-1) = 0
This yields two cases:
case a: x-3 = 0, which means x=3
case b: x-1 = 0, which means x=1
Since we can't answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 + 2:
Even when we combine the statements, we're left with x=3 or x=1
Since we still can't answer the target question with certainty, the answer is E.

Cheers,
Brent