Question

Can you conclude that A = B if A, B, and C are sets
such that

Answer 1

\[a. A \cup C = B \cup \]

Answer 2

Yes

Answer 3

it has 3 question in attach file

Answer 4

Oh...I dont Know...Im not very smart

Answer 5

hi, please help me

Answer 6

for (a): let \(C=\{1,2,3,\dots,10\}\) and \(A=\{1,3,5,7,9\}\) and \(B=\{2,4,6,8,10\}\), then \(C\cup B=C\cup A\) but \(A\neq B\).

Answer 7

for (b) let \(A=\{1,2,4,6,8\}\) and \(B=\{2,4,6,8\}\) then \(A\cap C=B\cap C\) but \(A\neq B\).

Answer 8

and c?

Answer 9

in the last example, we have both \(A\cap C=B\cap C\) and \(A\cup C=B\cup C\), but \(A\neq B\).

u should have seen this.