Q:

Let r = "I like pancakes," s = "I like syrup," and t = "I like honey." Write this sentence in symbolic form: I like pancakes, and I like syrup or honey, but not both

Accepted Solution

A:
Answer:[tex]r\wedge(s\oplus t)[/tex]Step-by-step explanation:The given statements arer = "I like pancakes," s = "I like syrup," and t = "I like honey."Given statement is "I like pancakes, and I like syrup or honey, but not both".We need to find a symbolic form of the given statement.If p and q are two statements, then[tex]p\wedge q[/tex] means p and q are true.[tex]p\oplus q[/tex] means either p or q are true, but not both.Using this symbols we can say that,I like syrup or honey, but not both = [tex]s\oplus t[/tex]I like pancakes, and I like syrup or honey, but not both = [tex]r\wedge(s\oplus t)[/tex]Therefore the required the symbolic form is [tex]r\wedge(s\oplus t)[/tex].