Negation of Statements

The converse of $\left(\left(~p\right)\wedge q\right)\Rightarrow r$ is

The statement $~\left[p\vee \left(~\left(p\wedge q\right)\right)\right]$ is equivalent to

Negation of $p\wedge \left(q\wedge ~\left(p\wedge q\right)\right)$ is

The negation of the statement $\left(\right(A\wedge (B\vee C))\Rightarrow (A\vee B\left)\right)\Rightarrow A$ is

The negation of the statement $\left(p\vee q\right)\wedge \left(q\vee \left(~r\right)\right)$ is

Negation of $\left(p\to q\right)\to \left(q\to p\right)$ is

The negation of $(p\wedge (-q\left)\right)\vee (-p)$ is equivalent to

The negation of the statement $\left(p\vee q\right)\wedge ~r$ is

Write the converse of the following statement.

If you do all the exercises in the book, you get an $A$ grade in the class.

Write the contrapositive of the following statement:

Write the contrapositive of the following statement:

If you are born in India, then you are a citizen of India.

The negative of the statement $~p\wedge \left(p\vee q\right)$ is

Consider the statement $p$: There exists prime numbers that are not odd. Negation of statement '$p$' is

Write the contrapositive of the following statement:

If a number is divisible by $9$, then it is divisible by $3$.

Write the ]inverse statement for the following conditional statement:

If the shape is a triangle, then the sum of the internal angles is $180$ degrees. 

Write the ]inverse statement for the following conditional statement:

If you win the race then you will get a prize.

What is the negation of a negation of "Jenny rides the bus" ?

Which of the following statements is biconditional?

Which of the following is a negation of $m?$

Identify the De-Morgon's law of negating the disjunction.

$~\left(p\wedge q\right)$