1. The problem statement, all variables and given/known data H and K are subgroups of G. Prove that H[tex]\cap[/tex]K is also a subgroup. 3. The attempt at a solution For H and K to be subgroups, they both must contain G's identity. Therefore, e [tex]\in[/tex] H[tex]\cap[/tex]K. Therefore, H[tex]\cap[/tex]K is, at least, a trivial subgroup of G. This was a test question. Note the past tense. The above is all that I wrote down. Since Fall Break is this week, I won't be able to see my test again until Monday. It's going to kill me. If you were my professor, would you at least give me half credit?