- #1
jreelawg
- 126
- 0
Statement 1: If n is any prime number > 2, then n+1 is even.
Statement 2: For all prime numbers p, if p>2, then p is even.
The above two statements seam equivalent, but have different converses, etc.
converse 1: If n+1 is even, then n is a prime number > 2.
converse 2: For all prime numbers p, if p+1 is even, then p > 2.
If you have a statement that begins with if, is it illegal to write as a for all?
Statement 2: For all prime numbers p, if p>2, then p is even.
The above two statements seam equivalent, but have different converses, etc.
converse 1: If n+1 is even, then n is a prime number > 2.
converse 2: For all prime numbers p, if p+1 is even, then p > 2.
If you have a statement that begins with if, is it illegal to write as a for all?