Let A and B be sets such that B (1) If A is finite, then B is finite. (2) If A is infinite, then B is infinite. (3) If B is finite, then A is finite. (4) If B is infinite, then A is infinite. Which of the following is true? Statements (2) and (3) are true. Statements (2) and (4) are true. Statements (1) and (2) are true. Statements (1) and (3) are true. None of the above is correct. Statements (3) and (4) are true. Statements (1) and (4) are true. A. Consider the following statements:

Please do both statement

Prove the existential statement given below. There are integers c and d such that 7c + 5d 1.

State the converse, inverse, and contrapositive of the following statement.Then give the truth values of all FOUR statements: Let a, b, c ∈Z+.    If  a | b and a | c then a | ( b + c ) .                         T / F converse­­­­­­­­­­­_______________________________________________________________T / F inverse­­­­­­­­­­­________________________________________________________________ T / F contrapositive_________________________________________________________ T / F