00:01
Hi everyone in this question we have given a statement that p and negation of q or negation of p or q okay we have to check that the statement is a totology or if this statement is a contradiction or it's neither totology nor a contradiction so we have to find it to the truth table so let me make the 2 table of this okay let this column denote p okay this is p this is q okay so if i say that it is true true false false okay and if i take true q as q statement as true false okay now what i'm doing see i have returned two statements p and q now i will find p and negation of q for this p and negation of q i need negation of q i need negation of so what i will do i will write negation of q.
01:28
I'll make one column of negation of p and one column for negation of q.
01:34
So what is the negation of p is false false true true and negation of q is false true.
01:47
Okay now i'm going to find this thing which p and negation of q.
01:56
So if i denote this as column 1, this has column 2, this is column 3 and this is column 4, then what it is expecting that column 1 and column 4.
02:15
Okay? so we will consider these both column and see whether it satisfies the and a property.
02:26
So and is nothing but by the and we know that it is true if both these statements are true and either one of the statement is false then it is false so let us see if this is true this is true then and will make this statement as true okay and rest of the statement as false here also negation of p or q means that they are expecting us to do three or column number two okay so this will become if you see in or it will be false if both the statements are false so let's see q and negation of p see here this false and this false will result me a false and rest of them are true.
03:35
Okay.
03:37
So let me denote this column by five and this column by six.
03:42
Now they are expecting us to solve five fifth the column or sixth column...