Question

Let: p:x< -3

Let: q:x >3
what is represented by p V q

A. X <-3 and x>3
B. x>3 or x< -3
C. if x <-3, then x>3
D. X<-3 if and only if x>3​

Answer 1

The disjunction p V q represents the logical statement x<-3 or x>3.

Step-by-step explanation:

The logical statement p V q represents the disjunction of p and q. In this case, p:x< -3 and q:x >3. The disjunction is true if either p or q is true. Since p is true when x is less than -3 and q is true when x is greater than 3, the disjunction is true for any value of x that satisfies either of these conditions. Therefore, the correct representation of p V q is x<-3 or x>3 (Option B).

Answer 2

Answer: B. x > 3 or x < -3

The "V" represents "or". It represents a disjunction.

The statement p V q is false when both p and q are false. Otherwise, p V q is true.

The order of p and q does not matter for any disjunction. So p V q is the same as q V p.