Question

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

• A. Quantity B is greater.
• B. The two quantities are equal.
• C. Quantity A is greater.
• D. The relationship cannot be determined from the information given.
• E.

Hint:

Always simplify absolute values carefully: \(|a-b|\) becomes a positive number even if \(a<b\).

Answer 1

The Correct Option is B

Step 1: Simplify Quantity A.
\(|10| - |16| = 10 - 16 = -6\).
Step 2: Simplify Quantity B.
\(|1-5| - |3-6| = |-4| - |-3| = 4 - 3 = 1\).
Step 3: Compare.
Quantity A = -6, Quantity B = 1. Clearly, Quantity B is larger.
Final Answer: \[ \boxed{\text{Quantity B is greater.}} \]