1. Determinewhether eachsentenceisastatement.

a. Open the door. b. 7055 is a large number c. In the year 2024, the president of the United States will be a woman. d. > 3.

2. Write thenegation ofeachstatement.

a. The Queen Mary 2 is the world's largest cruise ship. b. The fire engine is not red.

3. Considerthefollowingsimplestatements.

: Today is Friday : It is raining. : I am going to a movie : I am not going to the basketball game. Write the following compound statements in symbolic form. a. Today is not Friday and I am going to movie. b. I am going to the basketball game and I am not going to a movie. c. I am going to the movie if and only if it is raining. d. If today is Friday, then I am going to a movie.

4. Considerthefollowingstatements.

: All men are created equal. : I am trading places, : I get Abe's place. : I get George's place. Write each of the following symbolic statements in words. a. ~ b. ~ c.

d.

5. Let , , and represent the following. : Kesha's singing style is similar to Uffie's : Kesha has messy hair. : Kesha is a rapper.

a. Write () as an English sentence. b. Write "If Kesha is not a rapper, then Kesha does not have messy hair and Kesha's singing style is not similar to Uffie's." in symbolic form.