Answer:
The correct option is 4. For value 9 both p ∧ r true and q false.
Step-by-step explanation:
The diagram represents three statements: p, q, and r.
We need to find the value for which p ∧ r is true and q false.
p ∧ r true mean the intersection of statement p and r. It other words p ∧ r true means p is true and r is also true.
From the given venn diagram it is clear that the intersection of p and r is
[tex]p\cap r=9+2=11[/tex]
p ∧ r true and q false means intersection of p and r but q is not included.
From the given figure it is clear that for value 2 all three statements are true. So, the value for which both p ∧ r true and q false is
[tex]11-2=9[/tex]
Therefore the correct option is 4.
