- #1

Panphobia

- 435

- 13

## Homework Statement

Are these propositions, if so are they true or no?

a. [itex]\sqrt{n}[/itex] = 2

b. Consider an integer n: [itex]\sqrt{n}[/itex] = 2 and n = 4

c. Consider an integer n: if [itex]\sqrt{n}[/itex] = 2 then n = 4

Here is another question.

Translate the following into a propositional expression involving two propositions p and q.

d. Philip gets caught whenever he cheats.

## The Attempt at a Solution

a. I would this this is a proposition and it is false because we don't know what n is defined as.

b. Proposition and false because we don't know what n is defined as.

c. Proposition and true because FALSE → FALSE = TRUE

d. p = Philip gets caught

q = he cheats

I am not sure if this is an, if and only if, or just an if then.