Multiple choice

(x – 1)(x + 1) = 0 Quantity A Quantity B x 0

  1. Quantity A is greater than Quantity B

  2. Quantity A is smaller than Quantity B

  3. Quantity A is equal to Quantity B

  4. The relationship cannot be determined

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

(x-1)(x+1) = 0 implies x = 1 or x = -1. Since x can be either 1 or -1, and Quantity B is 0, we cannot determine if A > B, A < B, or A = B.

AI explanation

Applying the difference of squares identity to (x - 1)(x + 1) = 0 results in x^2 - 1 = 0, which gives x = 1 or x = -1. Since Quantity A is x, it can be either 1 or -1, while Quantity B is 0. Because one root is greater than 0 and the other is less than 0, a definitive relationship cannot be determined.