Answer to Question #181796 in Discrete Mathematics for Romnick lucas

Question

B.Let p, q and r denotes the following statements:

p: A square has four equal side

q: Rectangle has 2 parallel sides

r: A square is a rectangle. 

1. Express each of the following into English sentence. (3 pts each)

a. r ^ q → p

b. p

̅ → q

c. q → p

̅ v r

2. Write T if the above item is true and F if it false. Show solution. (3 pts

each)

a.

b.

c.

C. Show whether or not p ↔ q ≡ (p → q) ^ (q → p) (8 pts)

D. Find the converse, inverse and contrapositive of the implication: “If today is

Monday then, I have an exam today.” (3 pts each)

1. Inverse:

2. Converse:

3. Contrapositive: 

Answer 1

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