Translate the following statement into logic using the following propositions: p: The kids can go to the game. q: The kids do their homework first. r: The kids wash the dishes first. The kids can't go to the game unless they do homework or wash the dishes first. b) Sam was not allowed to go to the game. What do we know about Sam?
Translate the following statement into logic using the following propositions:
p: The kids can go to the game.
q: The kids do their homework first.
r: The kids wash the dishes first.
The kids can't go to the game unless they do homework or wash the dishes first.
b) Sam was not allowed to go to the game. What do we know about Sam?
As given, we need to translate the given statement into logic using the given propositions.
Given propositions -
p: The kids can go to the game.
q: The kids do their homework first.
r: The kids wash the dishes first.
Given statement -
The kids can't go to the game unless they do homework or wash the dishes first.
Explanation -
The word used in the given statement 'unless' means 'if not'.
For example - B unless A = if not A then B.
So, we can say the same statement in the following way -
If the kids do not do homework or wash the dishes first then they can't go to the game.
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