SOLUTION: Hi Can anyone help me with this problem, really struggling on where to start. If C ⊆ A ∩ B then C ⊆ A and C ⊆ B. Thanks

Algebra ->  Proofs -> SOLUTION: Hi Can anyone help me with this problem, really struggling on where to start. If C ⊆ A ∩ B then C ⊆ A and C ⊆ B. Thanks       Log On


   



Question 1044057: Hi
Can anyone help me with this problem, really struggling on where to start.
If C ⊆ A ∩ B then C ⊆ A and C ⊆ B.
Thanks

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let c ∈ C. (c is any element of C.)
===> c ∈ A ∩ B, because C ⊆ A ∩ B.
===> c ∈ A and c ∈ B
===> C ⊆ A and C ⊆ B.