Question

Match the statements on the left with the symbolic notations on the right.

A) Disjunction, p ∨ q
B) Conjunction, p ∧ q
C) Conditional, p → q
D) Michelle orders soup or she orders salad
[Match the statements to the correct notation]

Answer 1

The statement 'Michelle orders soup or she orders salad' corresponds to a disjunction in symbolic logic, which is represented by the notation 'p ∨ q'.

Step-by-step explanation:

When matching statements with symbolic notations from logic, we need to consider their definitions. Disjunction (A) p ∨ q occurs when one statement OR the other is true. Conjunction (B) p ∧ q occurs when both statements are true together. Conditional (C) p → q implies that if the first statement is true, then the second statement must also be true. Now, we look at the real-world example provided.

The statement "Michelle orders soup or she orders salad" represents a choice between two individual events, where either one or the other can occur for the statement to be true, which is the essence of a disjunction. Therefore, the correct symbolic notation for this statement is p ∨ q.