Question

If \( a \), \( b \), and \( c \) are in A.P., then the value of: \[ |x + 1| + |x + 2| + |x + 3| + |x + b| + |x + c| \]

• A. 3
• B. -3
• C. 0
• D. None of these

Hint:

Use the properties of arithmetic progression and absolute values to simplify the expression.

Answer 1

The Correct Option is C

Since \( a \), \( b \), and \( c \) are in arithmetic progression, simplify the given expression using properties of absolute values and solve for the sum.
Final Answer: \[ \boxed{0} \]