Question

7. Assume that p represents a true statement, q a false statement, and r a true statement. Determine the truth value of the following statement. ro(paq)

Answer 1

Given data:

p is a true statement. q is a false statement and r is a true statement.

Need to find truth table for the following statement:

(b vd~)Hd

First of all to do so, we need to know the truth tables for and $( \wedge )$ and double implies$( \leftrightarrow )$

Truth table for $\wedge$ :

		byd
True	True	True
True	False	False
False	True	False
False	False	False

Truth table for $\leftrightarrow$ :

		1 р 9
True	True	True
True	False	False
False	True	False
False	False	True

Now the truth table for the given statement :

(b vd~)Hd

			$\sim p$	(b vd~)	(b vd~)Hd
False	False	False	True	False	True
False	False	True	True	False	False
False	True	False	True	True	False
False	True	True	True	True	True
True	False	False	False	False	True
True	False	True	False	False	False
True	True	False	False	False	True
True	True	True	False	False	False

This is the truth table for the given statement.The given case is highlighted i.e, p is true , q is false and r is true.

Finally this is the answer and if you have any doubts please let me know in the comment section.Thank you.