Question

If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's and Fred's.

Answer 1

Heyaa♡♡

Here is the answer :-

For If P, then Q statements the given information is the P and the to prove statements are the Q.

P = "Paul is older than Bill and Fred is younger than Bill"

Q = "Bill's age is between Paul's and Fred's"

Proof:

Given that Paul is older than Bill and Fred is younger than Bill, prove that Bill's age is between Paul's and Fred's. Let x = Paul's age, y = Bill's age, and z = Fred's age. Since Paul is order than Bill we know that x > y. Since Fred is younger than Bill, we know that z < y. Note that x > y means that y < x. Thus, since z < y and y < x we have that z < y < x. Thus, Bill's age is between Paul's and Fred's. Done!

Hope it helped you.