Question:

Quantity A: \( |10| - |16| \)
Quantity B: \( |1 - 5| - |3 - 6| \)

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When comparing absolute values, make sure to simplify them before making comparisons.
Updated On: Sep 30, 2025
  • The two quantities are equal.
  • Quantity A is greater.
  • Quantity B is greater.
  • The relationship cannot be determined from the information given.
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The Correct Option is C

Solution and Explanation

Step 1: Simplify the absolute values. For Quantity A: \[ |10| - |16| = 10 - 16 = -6. \] For Quantity B: \[ |1 - 5| - |3 - 6| = | -4 | - | -3 | = 4 - 3 = 1. \]

Step 2: Compare the two quantities.
Clearly, \( -6<1 \), so Quantity B is greater.
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