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?

Question

Mathematics

Darion Lane

20 July, 12:26

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?

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Answers (2)

Know the Answer?

Danielle Ramsey · 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

Dexter Mercado · Answer 2

T F F F

Step-by-step 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.