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Check all statements that are equivalent to If the sky is not clear, then you do

ID: 3111488 • Letter: C

Question

Check all statements that are equivalent to

If the sky is not clear, then you don’t see the stars.

If you see the stars, then the sky is clear.

Clear sky is sufficient to see the stars.

Clear sky is necessary to see the stars.

You don’t see the stars unless the sky is clear.

Clear sky is necessary and sufficient for seeing the stars.

You see the stars only if the sky is clear.

If you don’t see the stars, then the sky is not clear.

The sky is clear only if you see the stars.

If the sky is clear, then you see the stars.

If you see the stars, then the sky is clear.

Clear sky is sufficient to see the stars.

Clear sky is necessary to see the stars.

You don’t see the stars unless the sky is clear.

Clear sky is necessary and sufficient for seeing the stars.

You see the stars only if the sky is clear.

If you don’t see the stars, then the sky is not clear.

The sky is clear only if you see the stars.

If the sky is clear, then you see the stars.

Explanation / Answer

The statements that are equivalent to "If the sky is not clear, then you don’t see the stars" are

You don’t see the stars unless the sky is clear.

If you don’t see the stars, then the sky is not clear.