Catch It! – Positive or Negative Result?

(1) \(\lvert -3 + 96 \rvert\),Positive Result

(2) \(-\lvert -3 + 96 \rvert\),Negative Result

(3) \(\lvert -6(2) \rvert\),Positive Result

(4) \(-\lvert -6(2) \rvert\),Negative Result

(5) \(\lvert -12 + 7 \rvert\),Positive Result

(6) \(-\lvert -12 + 7 \rvert\),Negative Result

Explanation

Absolute value of any expression is always non-negative. Adding a leading minus sign outside the bars negates the result, making it negative. So \(|x|\) is always positive (or zero), while \(-|x|\) is always negative (or zero).