Question

Write the negation of the following statement:
(a) $\forall y\in N,y^2+3\le 7$
(b) If the lines are parallel then their slopes are equal

Answer 1

(a) Statement :- If $y$ is a natural numbers then $y^2+3\le 7$

Negation :- There exist a $y$ $\in$ $N$ so that $y^3+3\ge 7$

(b) Statement :- If the lines are parallel then their slopes are equal

Negation :- Lines are a parallel and their slopes are not equal