Logical Equivalence

The negation of a conjunction of p and q is?

•  ~ p ˄ ~ q
• ~ p ˅ ~ q
• p ˅ ~ q
• p ˄ ~q

Tags

CCSS.HSS.CP.A.1

 The negation of a disjunction of p and q is?

• ~ p ˄ ~ q
• p ˅ ~ q
• p ˄ ~ q
• ~ p ˅ ~ q

Tags

CCSS.HSS.CP.A.1

What is logically equivalent to p → q?

• q → p
• ~ p → ~ q
• p → ~ q
• ~ q → ~ p

What is, also, logically equivalent to p → q?

• p ˅ ~ q
• ~ p ˅ q
• p ˄ ~ q
• ~ p ˄ q

What is the negation of p → q?

• ~ p ˅ q
• p ˅ ~ q
• p ˄ ~ q
• ~ p ˄ q

P: Coco is a monkey
Q: Bob is not a dog.
The negation of a conjunction of P and Q is?

• Coco is a monkey or Bob is a dog.
• Coco is not a monkey and Bob is a dog.
• Coco is not a monkey or Bob is a dog.
• Coco is a monkey and Bob is not a dog.

P: Coco is a monkey
Q: Bob is not a dog.
The negation of a disjunction of P and Q is?

• Coco is a monkey or Bob is a dog.
• Coco is not a monkey and Bob is a dog.
• Coco is not a monkey or Bob is a dog.
• Coco is a monkey and Bob is not a dog.

P: Coco is a monkey
Q: Bob is not a dog.
The conditional statement with P as the antecedent and Q as the consequent is?

• If Coco is a monkey, then Bob is not a dog. 
• If Coco is a monkey, then Bob is a dog. 
• If Bob is not a dog, then Coco is a monkey.
• If Bob is a dog, then Coco is a monkey. 

Tags

CCSS.HSS.CP.A.1

The conditional statement that is ≡ to the following disjunction is?
"Bob is not a dog or Coco is a monkey."

• If Bob is not a dog, then Coco is a monkey.
• If Bob is a dog, then Coco is a monkey.
• If Coco is a monkey, then Bob is a dog.
• If Coco is a monkey, then Bob is not a dog.

The negation of the following conditional is?
"If Coco is a monkey, then Bob is not a dog."

• Coco is not a monkey or Bob is not a dog.
• Coco is a monkey and Bob is a dog.
• Coco is a monkey or Bob is not a dog.
• Coco is not a monkey and Bob is not a dog.