In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If `A B\ a n d\ B C ,\ t h e n\ A Cdot`

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If AsubB\ a n d\ B in C ,\ t h e n\ A in Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If A subset B\ a n d\ B subset C ,\ t h e n\ A subset Cdot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If AsubB\ a n d\ x !in B ,\ t h e n\ x !in Adot

In each of the following determine whether the statement is true or false. If it is true prove it . if it is false, give an example: If x in A\ a n d\ A in B ,\ t h e n\ x in Bdot

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ∈ C , then A ∈ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ⊂ C , then A ⊂ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊄ B and B ⊄ C , then A ⊄ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ∈ C , then A ∈ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊂ B and B ⊂ C , then A ⊂ C

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A ⊄ B and B ⊄ C , then A ⊄ C