Mathematical Reasoning · Mathematics · KCET

The negation of the statement "For every real number $x ; x^2+5$ is positive" is

The contrapositive of the statement.

"If two lines do not intersect in the same plane, then they are parallel." is

If $$P(n): 2^n< n !$$ Then the smallest positive integer for which $$P(n)$$ is true if

The negation of the statement "For all real numbers $$x$$ and $$y, x+y=y+x^{\prime \prime}$$ is

The negative of the statement "All continuous functions are differentiable."