Question

Which of the following illustrates the truth value of the given statements? A line has only one point or a plane has at least 3 points. F T → T T F → T T T → T F F → F

Answer 1

Option 1. F F → T

Explanation:

The given statements are

"A line has only one point" - This statement is false as we know a line has two end points. Therefore the truth value of this statement is False.

"A plane has at least 3 points" - This statement is true as a plane contains at least three non collinear points . Therefore truth value of the statement is True.

As we know "truth value of Statement p → Statement q is False only when the truth value of statement p is True and for statement q is False."

Therefore in this condition F T → T is the correct illustration.

Answer 2

Answer: The correct option is (A) F T → T.

Step-by-step explanation: We are given to select the correct illustration of the truth value of the following statement :

"A line has only one point or a plane has at least 3 points".

Let p : A line has only one point. This is a false statement.

And

q : a plane at least three points. This statement is true.

Therefore, the statement p or q is written as p ∨ q.

Since p is false and q is true, so p ∨ q will be true.

That is,

p q p ∨ q

F T T

Thus, the correct illustration is F T → T.

Option (A) is CORRECT.