Question
~ R v ~ P

Answer

Truth table:
Column $\rightarrow$ 1 2 3 4 5
Row $\downarrow$ R P ~R ~P ~R v ~ P
1 T T F F F
2 T F F T T
3 F T T F T
4 F F T T T
  1(~) 2(~) 3, 4 (v)
Explanation: ~ R v ~ P in column no. 1 and 2 are the pillars, while the rest
There are three secondary columns. Column no. 5 presents the whole complex joint statement. Column no. Looking at 5, the following facts become clear:
(1) According to the first row, if R is true and P is true, then the whole statement ~ R v ~ P is untrue.
(2) According to the second row, if R is true and P is untrue, then ~ R v ~ P is the whole truth.
(3) According to the third row, if R is untrue and P is true, then ~ R v ~ P is the whole truth.
(4) According to the fourth row, if R is untrue and P is untrue, then ~ R v ~ P is the whole truth.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free