|(x - 4)*(x - 7)| = |x - 4|*|x - 7|sud21 wrote:Is absolute value of (X-4)*(X-7) equal to X^2-11X+28?
1). X>4
2). X>7
Statement 1: x > 4 --> |x - 4| = (x - 4)
Now if x = 7, then the product will be zero, otherwise it will have some other value.
Not sufficient
Statement 2: As x > 7, x must be greater than 4 too.
Hence, |x - 4| = (x - 4) and |x - 7| = (x - 7)
Hence, their product will also have a specific expression. And we can answer the question in yes or no.
Sufficient
The correct answer is B.
