23.9k views
0 votes
A line, and a point outside the line are in exactly one plane or two planes intersect in a plane. T F → T F T → T F F → F T T → T

User Ctpanchal
by
7.9k points

1 Answer

2 votes

Answer: The correct option is

(A) T F → T.

Step-by-step explanation: We are given to select the truth value statement for the following compound proposition :

A line and a point outside the line are in exactly one plane OR two planes intersect in a plane.

Let us consider that

p : A line and a point outside the line are in exactly one plane

and

q : Two planes intersect in a plane.

We know that the statement p is TRUE and the statement q is FALSE.

Since p and q are connected by OR, so the result will be TRUE iff one of p or q is TRUE.

Therefore, the truth value statement is

p q p or q

T F T

Thus, option (A) is CORRECT.

User Mike Shepard
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories