00:01
In the given question we are told that we have three propositions p, q and r, and the truth values of these propositions are already given to us.
00:10
We are told that p is false, q is true and r is false.
00:15
Now, we have been given a statement in the question in the symbolic form and we have to figure out the truth value of this statement.
00:25
So what is given to us in this question is p or not r p or not are and not q or r or r or p or r or p or or p or not what we are given there is another bracket over here as here as well so this is what we are given as the statement right p r not r p r not r and not q or r or r or p r and not q or r or p or p so, what we could do over here first is figure out the truth values of this part and this part of the statement.
01:39
So let's start with the left side, which is p or not r, right? so we already know that p is having a truth value of false and r is having a truth value of false.
01:56
So now when we take not are the truth value is true.
02:02
So keeping this in mind we have a statement which is of the form p r not r since p is false and not r is true.
02:15
P is false and not r is true.
02:22
The truth value of this part of the statement.
02:27
The r not r is true.
02:30
So this part of the statement is having a truth value of true.
02:35
Now let's move on to this part and what we would start with is q or r.
02:43
So in q or r we already know the truth value of r is false.
02:50
So q is having a truth value of true and r is having a truth value of true and r is having a truth value of false.
02:59
So q or r would then have a truth value of true.
03:05
Next up we have r or a p.
03:11
So again, r is having a truth value of false and p is having a truth value also false...