Question

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

Answer 1

Answer:

$r\wedge(s\oplus t)$

Step-by-step explanation:

The given statements are

r = "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

$p\wedge q$ means p and q are true.

$p\oplus q$ 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 = $s\oplus t$

I like pancakes, and I like syrup or honey, but not both = $r\wedge(s\oplus t)$

Therefore the required the symbolic form is $r\wedge(s\oplus t)$.