Question: A. Write each statement in symbolic form. 1. I like rock songs and pop songs. 2. I don't like both rock songs and pop songs.

A. Write each statement in symbolic form. 1. I like rock songs and pop songs. 2. I don't like both rock songs and pop songs. 3. I like rock songs but not pop songs. 4. Curry or Thompson will be traded to Celtics. 5. If Curry will be traded to Celtics, then Thompson will not be traded to Celtics. 6. Curry will be traded to Celtics or Thompson will not be traded to Celtics. 7. Unemployment rate will increase or the Congress will not pass the resolution. 8. If the congress will not pass the resolution, then unemployment rate will increase, and the government will create a fund for unemployment. 9. Congress will pass the resolution, or government will create a fund for unemployment, if and only if the unemployment rate will increase. 10. If the unemployment rate will not increase, the Congress will not pass the resolution and the government will not create the fund for unemployment. B. Rewrite the following statements using the a) "if-then" form, and write the b) converse, c) inverse and the d) contrapositive forms of the statement. 11. You would believe it if you google it on the Internet. 12. Every picture tells a story. 13. It is necessary to be 21 years old to be able to drink alcohol. 14. The student will join the science club provided that he is an engineering student. 15. You will graduate only if you have a 2.0 grade point average. B. Translate each symbolic statement into words. p: Today is Friday. q: It is raining. r: I will drive my car. 16. p^(~q) 17. p^q -> ~r 18. (~p) -> ~q 19. p -> q^r 20. pvq -> ~r

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!