Question

Let p represent the statement”the car is blue “ and q represent the statement “the car is spacious “. What is true of the conjunction p ^ q ?

Answer 1

p= the car is blue
q= the car is spacious
p^q is true if and only if the car is both blue AND spacious
if the car is not blue, or the car is not spacious, or both then p^q is false

Answer 2

T F F F

Explanation:

Let p : "the car is blue."

q :"the car is spacious."

Conjuction p^q :

In conjuction If p and q is true then the value of p^q is true.

But if any statement p or q is false then the value of p^q is false.

When p is true and q is true then the value of p^q is true.

When p is true and q is false then the value of p^q is false.

When p is false and q is true then the value of p^q is false.

When p is false and q is false then the value of p^q is false.

When the car is blue and spacious then the value of p^q is true only.

When the car is not blue but the car is spacious then the value of p^q is false.

When the car is blue but not spacious then the value of p^q is false.

When the car is not blue nor spacious then the value of p^q is false.