Write the negation of the statement: ‘\(\exists n \in N\) such that \(n + 8 \gt 11\)’
Q.2 (i) Write the negation of the statement: ‘\(\exists n \in N\) such that \(n + 8 \gt 11\)’
Q.2 (i) Write the negation of the statement: ‘\(\exists n \in N\) such that \(n + 8 \gt 11\)’
Best answer
Answer: \(\forall n \in N,\ n + 8 \le 11\).
The negation of “there exists” is “for all”, and the negation of \(\gt\) is \(\le\).
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