Question

Given the following logical expression, place the operations in the order in which you would apply, from first operation to last.

~p ∧ q ∨ r
a) AND, OR, NOT
b) NOT, AND, OR
c) OR, NOT, AND
d) OR, AND, NOT

Answer 1

The operations in the order from first to last would be: NOT, AND, OR.

Step-by-step explanation:

1. First, we would apply the NOT operation (~) to the variable p
2. Then, we would apply the AND operation (^) to the results of the previous step and the variable q
3. Finally, we would apply the OR operation (v) to the results of the previous step and the variable r

When evaluating the logical expression ~p \(\land\) q \(\lor\) r, the operations should be applied in the following order: NOT (negation), AND (conjunction), and OR (disjunction). This is in accordance with the rules of precedence in logical operations, similar to the order of operations in arithmetic (e.g., PEMDAS/BODMAS). Therefore, the correct sequence from the options given is b) NOT, AND, OR.