# Logic Question

Subject Mathematics Logic

## Question

If I do not rollerblade, then i go to the gym
If i ride my bike and I go to the gym, then i am tired
I am not tired
I ride my bike

Let G=I go to the gym
Let B= I ride my bike
Let T= I am tired

The correct logic connectors are
~R->G
(B^G)->T
~T
B

Prove:R

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