The following problem was given on a test of mine and I got it completely wrong. If anyone can help me with solving this problem that would be great(adsbygoogle = window.adsbygoogle || []).push({});

Let H and K be a subgroup of G, such that H is not equal to G and K is not equal to G . Prove that H union K is not equal to G. Hint: A group cannot be the union of two proper subgroups

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# Union of proper subgroups

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