MAT-130 Homework 3 Name:_________________________________ Due Friday, April 2, 2021, no later than 4:45 P.M. Decide whether each statement is true or false. (1 point each)

1. If ¬(?? ? ??) is true, then the truth values of p and q must be both true.

2. p ? q is equivalent to ¬ ?? ? ?? . Decide whether each is a statement or is not a statement. Note: a compound statement is still a statement. (1 point each) 3. 12 ? 24 ? 12

4. I command you to drive to Houston, Texas.

Write a negation of the following without using a slash symbol. (1 point each)

5. z > ?28

6. ?? ? 2 ? ?37

Construct a truth table for the following compound statement. (4 points) Please show all columns, just as in the class notes. 7. ?? ? ¬?? ? ??