Question

for all sets A, B and C, if if a subset B then a intersection c subset B intersection c

Answer 1

 to prove that if A⊂B∩CA⊂B∩C, then A⊂BA⊂B and A⊂CA⊂C. I go through:

(1) For all x∈A,x∈B∩Cx∈A,x∈B∩C.

(2) For all x∈A,x∈Bx∈A,x∈B and x∈Cx∈C

(3) For all x∈A,x∈Bx∈A,x∈B and for all x∈A,x∈Cx∈A,x∈C

(4) So A⊂BA⊂B and A⊂CA⊂C

I'm not sure if step 2 to 3 is sound. But my real question is why I can't replace all "∩∩"s with "∪∪"s and all "and"s with "or"s and prove th

Answer 2

Answer:

true

Step-by-step explanation:

TRUE / TRUE