Restate the following in the form of if p than q.

- Joey will pass the Discrete Structure Exam
**if**he studies hard. - A
**neccessary**condition for Fernando to buy a computer is that he obtains $2000. - A
**sufficient**condition for Katrina to take the Algorithm course is that she passes

Discrete Structures. - You may inspect the aircraft
**only if**you have the proper security clearance.

Assume that p and r are false and q and s are true.

Find the truth value of each proposition below.

`(p->q)^(q->r)`

`(s->(p ^ ~r))^((p->(r v q))^s)`

Assume that p is true, q is false, and r's status is unknown at this time.

Can the statement below to be true, or false, or unknown?

`(q v r) if and only if r`

Determine the truth value of each proposition below.

`If 3+5<2, then 1+3 = 4`

`If 3+5>2, then 1+3 != 4`

`3+5<2 if and only if 1+3 != 4`