Consider the statements P: 5 is odd. Q: 23 + 1 is even. (a) Express the biconditional P

Problem 1

Consider the statements

P:  is odd     Q:  is even

a. Express the biconditional  using “if and only if” and “necessary and sufficient”

b. Determine whether  is true or false

                                                            Step by Step Solution

Step 1 of 2

Given statements are

To express biconditional using “if and only if” and “necessary and sufficient”.

The biconditional  can be expressed using “if and only if” as follows:

 is odd if and only if  is even

The biconditional  can be expressed using “necessary and sufficient” as follows:

The necessary and sufficient condition for  to be an odd is  is even