1. My putting on my glasses is a necessary condition for my seeing past my nose.

2. If Jim gives me a drink he will either spike it or put an olive in it.

3. Sam intends to buy Tracey's present on time, but if he doesn't buy it on time, he's either sleeping on his buddy's couch again or he's spending the night at the bars.

2. Hello, Amber!

1. My putting on my glasses is a necessary condition for my seeing past my nose.
$\displaystyle p$: I put on my glasses.
$\displaystyle q$: I see past my nose.

. . Translation: .$\displaystyle q \to p$

2. If Jim gives me a drink he will either spike it or put an olive in it.
$\displaystyle p$: Jim gives me a drink.
$\displaystyle q$: Jim spikes the drink.
$\displaystyle r$: Jim puts an olive in the drink.

. . Translation: .$\displaystyle p \to (q \vee r)$

3. Sam intends to buy Tracey's present on time,
but if he doesn't buy it on time, he's either sleeping on his buddy's couch again
or he's spending the night at the bars.
$\displaystyle p$: Sam buys Tracy's present on time.
$\displaystyle q$: Sam sleeps on his buddy's couch.
$\displaystyle r$: Sam spends the night at the bars.

Translation: .$\displaystyle \begin{array}{ccc}p \qquad\qquad \\ \sim\!p \to (q \vee r) \end{array}$

3. Thank You so much!!! It means alot!