Consider the following propositional variables concerning a particular dragon and hobbit:

A: The dragon is awake.

B: The dragon breathes fire at the hobbit.

S: The hobbit tries to steal the Arkenstone.

L: The hobbit lives to tell the tale.

Using the above variables, translate each of the following statements into compound propositions.

Use appropriate logical connectives.

$($a$)(1\mathrm{.}5$ pt$)$ A sufficient condition for the hobbit to live to tell the tale is that $($the dragon is not

awake and the dragon does not breathe fire at the hobbit$).$

$($b$)(1\mathrm{.}5$ pt$)$ The hobbit tries to steal the Arkenstone and does not live to tell the tale unless the

dragon is not awake.

$($c$)(1\mathrm{.}5$ pt$)$ The dragon breathes fire at the hobbit only if the dragon is awake and the hobbit

tries to steal the Arkenstone.

$($d$)(1\mathrm{.}5$ pt$)$ It is not the case that $($if the dragon is awake and the hobbit tries to steal the

Arkenstone, then the dragon breathes fire at the hobbit$).$