Solution to B.Let p, q and r denotes the following statements: p: A square has four equal … - Sikademy
Author Image

Archangel Macsika

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:

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

1. a

r\wedge q \to p

If a square is a rectangle and a rectangle has 2 parallel sides, then a square had four equal sides.

b. p\to q

If a square has four equal sides, then a rectangle has 2 parallel sides.

c. (q \to p)\vee r

If a rectangle has 2 parallel sides, then a square has four sides or a square is a rectangle.

2. a. F

b. T

c. T


C. Using truth table



Hence they are equivalent

D.

Inverse: If today is not Monday, then I have no exam today.

Converse: If I have an exam today, then today is Monday.

Contrapositive: If I have no exam today, then today is not Monday.

Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-3179-qpid-1878