Question

Let p, a and r represent the following simple statements:p: I work hard. q: The chair is broken r: The stove is hot

Answer 1

Answer:

`p\text{ }\lor\text{ }\sim q\text{ }\rightarrow r`Step-by-step explanation:

p: I work hard.

q: The chair is broken

r: The stove is hot

The compound statement is:

If I work hard or the chair is not broken, then the stove is hot

∼q: The chair is not broken

The symbol for OR is ∨

The if-then statement is represented using the symbol →

Therefore, the symbolic form of the statement "If I work hard or the chair is not broken, then the stove is hot" is:

`p\text{ }\lor\text{ }\sim q\text{ }\rightarrow r`