MATH SOLVE

2 months ago

Q:
# Convert the following statement using an "if-then" structure.John doesn't own a dog, or he owns a cat.John doesn't own a dog, or he owns a cat.Choose the correct statement:A. If John doesn't own a cat, then he owns a dogB. If John owns a cat, then he owns a dogC. If John doesn't own a dog, then he owns a catD. If John owns a dog, then he owns a cat

Accepted Solution

A:

Answer: D. If John owns a dog, then he owns a catStep-by-step explanation:The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ... ~(John owns a dog) ∨ (he owns a cat)Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...p = John owns a dogq = he owns a catand put those into the structure of the implication: if p, then q. If John owns a dog, then he owns a cat. . . . . matches choice D