Energy can be created and be destroyed. State whether this is true or false.

State true or false

Energy can neither be created nor destroyed. Then why is there so much noise about energy crisis ?

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 ∈ A and A ∈ B , then x ∈ B

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 x ∈ A and A ⊄ B , then x ∈ B

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 x ∉ B , then x ∉ A