MHT CET2019Evening ShiftMathematicsMathematical ReasoningActual
The negation of “ ∀ , n ∈ N , n + 7 > 6 ” is ….
Options
- A∃ n ∈ N , such that n + 7 ≤ 6
- B∃ n ∈ N , such that n + 7 ≥ 6
- C∀ n ∈ N , n + 7 ≤ 6
- D∃ n ∈ N , such that n + 7 < 6
Correct answer
A. ∃ n ∈ N , such that n + 7 ≤ 6
Step-by-step solution
Key Idea – The negation of the quantifier For every is there exists. Given statements ∀ ” n ∈ N ” such than n + 7 > 6 ” ∴ The negation of the given statement is ∃ n ∈ N , such that n + 7 ≤ 6