a) Describe a way to prove the biconditional p↔ q.

b) Prove the statement: "The integer 3n+ 2 is odd if and only if the integer 9n+5 is even, where n is an integer."

Step 1:

In part (a) we have to describe a way to prove the biconditional and n part(b) by using above we need to prove the statement “The integer is odd if and only if the integer is even,where n is an integer.”

Step 2:

(a)we have to describe a way to prove the biconditional

To prove p iff q we need to prove that pand .To prove biconditional we may use any proof techniques like direct proof,proof by contraposition,and proof by contradiction.