Answer
The truth value for the provided compound statement with provided condition is true.
Work Step by Step
The provided compound statement in symbolic form is \[\sim p\to q\].
Substitute, the truth values for simple statements\[p,q,r\] to determine the truth value for the given compound statement, \[\sim p\to q\]. The given compound statement is conditional statement whose ingredient variables are negation of\[p\] with\[q\]. A conditional statement is false only when the truth values of antecedent is true and the consequent is false.
Replace with the truth values of a simple statement,\[\tilde{\ }\text{F}\to \text{T}\].
This implies that the truth values can be rewritten as \[\text{T}\to \text{T}\] or in the simplest form, it can be written as\[\text{T}\](true).
This can be represented in the table form as:
