00:02
So to begin to answer these questions, we need to keep in mind these two important statements.
00:08
If p, then q is going to be the same as saying not p or q.
00:15
And on the right hand side here, if we wanted to negate a conditional statement, that's the equivalent of saying p and not q.
00:23
So we will use these as we work through these problems.
00:28
So the first problem is not p implies not q.
00:32
We've been asked to rewrite this without a conditional statement.
00:36
So you want to use this first equivalency to help you.
00:42
So just kind of follow along with the pattern.
00:45
It says not p.
00:47
In other words, not the first statement.
00:50
So if i say, well, i'm going to negate my first statement, then or q.
00:58
And q is my second statement, which in this case happens to be not q, but you just take what it is.
01:05
Now, if i'm negating not p, that gives me back to p or not q.
01:14
For part b, we're looking at statement p or q implies not p.
01:24
Again, following this same procedure here, we're negating the first part of this.
01:30
So we're going to negate p or q, or and leave the second part.
01:37
Part as is...