Let A, B and C be the following propositions: Translate the following into logical notation: (a) It

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Let A, B and C be the following propositions:

A: It is raining B: The Sun is shining C: There are clouds in the sky

Translate the following into logical notation:

(a) It is raining and the Sun is shining.

(b) If it is raining then there are clouds in the sky.

(c) If it is not raining then the Sun is not shining and there are clouds in the sky.

(d) If there are no clouds in the sky then the Sun is shining.

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