Mathematical Re...

The contrapositive of $$p \rightarrow (\sim q \rightarrow \sim r)$$ is 

Negation of $$\displaystyle q \vee \sim \left ( p\wedge r \right )$$ is

Find the truth value of the compound statement, 4 is the first composite number and $$2+5=7$$.

The negation of the statement "$$2 + 3 = 5$$" and "$$8 < 10$$" is

Find the quantifier which best describes the variable of the open sentence $$x^2+2\ge0$$

What is the truth value of the statement 'Two is an odd number iff 2 is a root of $$x^2+2=0$$'?

The negative of the statement "If a number is divisible by 15 then it is divisible by 5 or 3"

The inverse of the statement $$(p \wedge \sim q)  \rightarrow r$$ is

The contrapositive of $$\sim p \rightarrow ( q \rightarrow \sim r)$$ is

Let $$S$$ be non-empty subset of $$R$$ then consider the following statement