Solution Found!
a) Describe what is meant by a direct proof, a proof by
Chapter 1, Problem 10RQ(choose chapter or problem)
Problem 10RQ
a) Describe what is meant by a direct proof, a proof by contraposition, and a proof by contradiction of a conditional statement p → q.
b) Give a direct proof, a proof by contraposition and a proof by contradiction of the statement: "If n is even, then n + 4 is even."
Questions & Answers
QUESTION:
Problem 10RQ
a) Describe what is meant by a direct proof, a proof by contraposition, and a proof by contradiction of a conditional statement p → q.
b) Give a direct proof, a proof by contraposition and a proof by contradiction of the statement: "If n is even, then n + 4 is even."
ANSWER:
Solution
Step 1:
In part (a)We have to describe the methods of direct proof,proof by contraposition,and proof by contradiction for the statement
And in part (b) using this methods we need to to give a proof for the statement “If n is even,then n+4 s even”