Make Truth Table for P->(~q v ~r) /\ ~ p /\ q .

Question

Please provide the truth table along with the reason for understanding.

Answer 1

1	2	3	4	5	6	7	8	9
p	q	r	~p	~q	~r	(5)⋃(6)	(4)⋂(2)	(7)⋂(8)
0	0	0	1	1	1	1	0	0
0	0	1	1	1	0	1	0	0
0	1	0	1	0	1	1	1	1
0	1	1	1	0	0	0	1	0
1	0	0	0	1	1	1	0	0
1	0	1	0	1	0	1	0	0
1	1	0	0	0	1	1	0	0
1	1	1	0	0	0	0	0	0

In the truth table above 0=FALSE/F/No, 1=TRUE/T/Yes.

⋃=union or INCLUSIVE-OR, ⋂= intersection or AND, ~=NOT

(a) ○ (b) means perform binary operation ○ on Column a and Column b.

Truth table for INCLUSIVE OR:

	0	1
0	0	1
1	1	1

Truth table for AND:

	0	1
0	0	0
1	0	1