Question

1. which logical symbol would you use to change the sentence, \he can get his driver’s license,\ into, \he cannot get his driver’s license\?

the logical symbol for that sentence is ∨.
the correct symbol for the logical statement is ∧.
the logical symbol is ~.
the correct logical symbol is →.

Explanation:

To determine the logical symbol for negating a statement, we recall logical symbols: $\vee$ (disjunction, "or"), $\wedge$ (conjunction, "and"), $\sim$ (negation, "not"), and $
ightarrow$ (implication, "if...then"). The sentence "He cannot get his driver’s license" is the negation of "He can get his driver’s license", so the negation symbol $\sim$ is used.

Answer:

The logical symbol is $\boldsymbol{\sim}$. (Corresponding option: The logical symbol is ~.)