boolean function

Question

Let f = “she is out of work” and s = “she is spending more.” Write the following statements in symbolic form: 1. Neither is she out of work nor is she spending more.

ANS : not f and not s

is this answer corret if not can i please get help

Answer 1

Yes. This is by definition of nor and DeMorgan's Law. So

$$\begin{aligned} \text{Neither is she out of work nor is she spending more} &\equiv \neg (f \lor g)\\ &\equiv (\neg f) \land (\neg g) \end{aligned}$$