Restate the proposition in the form (1.3.2) of a conditional proposition.
Write the contrapositive of each proposition.
1. Joey will pass the discrete mathematics exam if he studies hard.
2. Rosa may graduate if she has 160 quarter-hours of credits.
3. A necessary condition for Fernando to buy a computer is that he obtain $2000.
4. A sufficient condition for Katrina to lake the algorithms course is that she pass discrete mathematics.
5. Getting that job requires knowing someone who knows the boss.
6. You can go to the Super Bowl unless you can’t afford the ticket.
7. You may inspect the aircraft only if you have the proper security clearance.
8. When better cars are built, Buick will build them.
9. The audience will go to sleep if the chairperson gives the lecture.
10. The program is readable only if it is well structured.
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