A high school principal made this statement to the school board: “Either music is not dropped from the curriculum or the students will become cultural philistines; furthermore, the students will not become cultural philistines if and only if music is dropped from the curriculum.” Assuming the principal is correct, what has she told us about music and the students? (Hint: Construct a truth table for the principal’s statement and examine the line on which the statement turns out true.) (M, C)

Use truth tables to obtain the answers to the following exercises. The letters to be used in constructing the truth tables are given in parentheses.