The equation |x + 2| = -2 has:

  1. Unique solution.
  2. Two solutions.
  3. Many solutions.
  4. No solution.

Answer (Detailed Solution Below)

Option 4 : No solution.
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Detailed Solution

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Concept:

The Modulus Function '| |' is defined as:

\(\rm |x|=\left\{\begin{matrix}\rm \ \ x, &\rm x>0\\\rm \ \ 0, & \rm x=0 \\\rm -x, &\rm x<0\\\end{matrix}\right.\)

 

Calculation:

Since the modulus function '||' always returns a positive value or 0, its not possible to have -2 as the value of modulus of any expression.

Hence, |x + 2| = -2 has no solution.

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