Multiple choice

Quantity A is X2 + 1 Quantity B is 2X - 1

  1. 1

  2. 2

  3. 3

  4. 4

  5. 5
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A Correct answer
AI explanation

To compare the expressions, subtract Quantity B from Quantity A to get x2 + 1 - (2x - 1) = x2 - 2x + 2. Completing the square yields (x - 1)2 + 1, which is a sum of a squared term and a positive number. Since any real number squared is non-negative, (x - 1)2 + 1 is always strictly greater than 0 for all real values of x. Therefore, Quantity A is always greater than Quantity B, corresponding to result 1.

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