1) For this question the following statements and symbols should be used:

a: you are in Melbourne

d: you are in Sydney

h: you are in Australia

a) Translate the following into English.

h (d a)

(a d)

d (h a)

b) Translate the following into symbolic logic (do not simplify your answer).

If you are not in Australia, then you are not in Melbourne or Sydney.

If you are in Melbourne, then you are in Australia

If you are in Sydney, then you are not in Melbourne

2. You have a friend who has written the following condition statement in their code:

If (pass <= 50 or score > 5) and (pass> 50 or score > 5) and pass <= 50

Show using the laws of logic that this condition statement can be simplified to:

If score> 5 and pass <= 50

For each step, state which law of logic you have used.