Convert the statement into symbolic form.  Let:             p denote the statement “Jack committed a crime”, and             q denote the statement “Jack is 21 years old.” Select the symbolic form that denotes the given statement. Jack committed a crime and he is not 21 years old.

Convert the statement into symbolic form.  Let:             p denote the statement “Jack committed a crime”, and             q denote the statement “Jack is 21 years old.” Select the symbolic form that denotes the given statement. Jack committed a crime or he is 21 years old.

Determine if the following statement is true or false.   (G ∪ H)′ = G′ ∩ H′

The following sentence is a statement (true or false): The youngest student passes the exam.

A random sample of 100 students were surveyed about their preferences for types of music to be played on the student radio station. The choices to select from were rock, blues, and country. The results of the survey are listed below.             72 like rock, 40 like blues, 37 like country,             22 like rock and the blues, 20 like rock and country,             27 like country and the blues,             12 like all three. How many students surveyed like only one of the three types of music?

Let:             p: The sun is a star.             q: The moon is a planet. Determine the truth value of the following statement. ∼(p ∧ q)

The following sentence is a statement (true or false): 3 + 4 = 12.

Let:             p: The sun is a star.             q: The moon is a planet. Determine the truth value of the following statement. (p ∧ ∼q) ∨ ∼p

A day into the camping trip, it appeared evident to Harry and the other staff members that the way the youth were grouped in the canoes needed to be addressed.  It was important that the entire group reach its travel destinations every day, and the group was falling behind its schedule further each day.  Although the youth all claimed to be “expert” canoeists, canoes frequently traveled in circles, arguments between the young people in the same canoe erupted about who was working harder, and a couple of times a paddle ended up floating away from the canoe in the water.  Harry and his staff discussed alternatives based on their observations and knowledge of the youth’s histories.  While the youth were initially excited about the idea of canoeing, it was evident that their attitude could deteriorate if there was no intervention by the staff members.  Which of the following courses of action is the best?

The physician probably prescribed Ritalin for John, which he is taking currently, for which of the following reasons?