SOLUTION: Can anyone help me with this, I don't really understand how to set up the proof
If C ⊆ A ∩ B then C ⊆ A and C ⊆ B.
Thanks
Algebra.Com
Question 1044054: Can anyone help me with this, I don't really understand how to set up the proof
If C ⊆ A ∩ B then C ⊆ A and C ⊆ B.
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x be an element in set C. Since x is in set C, it must be in BOTH set A and in set B because C is a subset of the intersection of A and B.
If you draw a venn diagram, the region where A and B overlap is where set C will be. Set C will either be the whole overlapping region or a smaller region inside this overlap.
So this means that if x is in C, then x is in A. Also, x is in B. The element x is a general representative of any element in set C. So that means if C is a subset of A intersect B, then C is a subset of A and C is a subset of B
RELATED QUESTIONS
Hi
Can anyone help me with this problem, really struggling on where to start.
If... (answered by robertb)
The problem says this, and it is multiple choice:
Given the following sets, select the... (answered by Theo)
Given the following sets, select the statement below that is true.
A={1, a, t, e, r}... (answered by oscargut)
Given the following sets, select the statement below that is true.
A = {l, a, t, e,... (answered by stanbon)
A Las Vegas casino surveyed 210 gamblers. The results are as follows:
108 played poker
(answered by edjones)
Given the following sets, select the statement below that is true.
A = {l, a,... (answered by MathLover1)
determine whether it is valid or invalid. If valid then give a proof. If invalid then... (answered by ikleyn)
Given the following sets, select the statement below that is true.
A = {l, a, t, e,... (answered by MathLover1)
Given the following sets, select the statement below that is true.
A = {r, i, s, k, e,... (answered by MathLover1)