Question

which term best describes a mathematical statement of the from shown below? if A, then B.

A.) Conditional statement 
B.) Conjecture 
C.) Proof
D.) Deductive statement 

Answer 1

Answer: option A) conditional statement.

Explanation:

A conditional statement is an if - then stamentent that relates a hypothesis and conclusion. The hypothesis is the part that comes right after the if and before the then, and the conclusion is the part that comes after the then.

A conditional statement is symbolized by the form A → B, which is understood as:

• if A then B
• A is the hypothesis
• B is the conclusion.

This simple statement is a very powerful tool in logic, because it means that, if the conditional statment is true, whenever A is stated true, then the conclusion B is necessarily true.

This is, given A → B, you see that truth of A is a enough condition to prove the truth of B, and the truth of B is a necessary condition to state the truth of A.