Amit M Agarwal Solutions for Chapter: Mathematical Reasoning, Exercise 2: Target Exercises

If $p, q$ are true statements and $r, s$ are false statements, then the truth value of $~\left[\left(p\wedge ~r\right)\vee \left(~q\vee s\right)\right]$ is

If the compound statement $p\to \left(~p\vee q\right)$ is false, then the truth values of $p$ and $q$ are respectively.

In the truth table for the statement $\left(~p\Rightarrow ~q\right)\wedge \left(~q\Rightarrow ~p\right),$ the last column has the truth value in the following order

Which of the following is equivalent to $\left(p\wedge q\right)$

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

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

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

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