- #1

Mr Davis 97

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## Homework Statement

1) 2 is the smallest prime number

2) The area of any bounded plane region is bisected by some line parallel to the x-axis.

3) All that glitters is not gold

## Homework Equations

## The Attempt at a Solution

1) ##\forall p \in P ~~~ (2 \le p)## (where ##p## denotes the set of prime numbers)

2) Let ##r = \text{any bounded plane region}##, ##l = \text{any line parallel to the x-axis}##.

##\forall r \exists l ~~~ (l ~\text{bisects}~ r)##

3) Let ##g = \text{any earthly object}##

##\exists g ~~~ (\text{g glitters} \wedge \neg (\text{g is gold}))##

Is this at all right? I just kind of winged it, and I am assuming that there are a lot of better ways that these could be done.