Mathematics

Camilla Harvey

28 May, 03:43

Given: p is true

Prove: p _ q is true

Assume p and ~q are both true. ~q _ r, and r _ ~p. Therefore, ~p and p cannot be true, so p and ~q cannot be true. Therefore, p _ q is true.

What type of proof is illustrated above?

A. proof by contradiction

B. proof by law of detachment

C. proof by theorem

+5

Answers (1)

Know the Answer?

Not Sure About the Answer?

Find an answer to your question ✅ “Given: p is true Prove: p _ q is true Assume p and ~q are both true. ~q _ r, and r _ ~p. Therefore, ~p and p cannot be true, so p and ~q ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.

Search for Other Answers

You Might be Interested in

Solve the quadratic: x squared + x - 6 = 0

36/18 as a mixed number

A way that the United States began its policy of providing aid to Sudan was by supporting its industries. easing sanctions. eliminating tariffs. signing a trade agreement.

The expression | 20-31 | gives us the distance between the numbers 20-31. Write a similar equation for the distance between - 5 and - 15 and simplify it

a tv has listed price of $599.99 before tax. if the sales tax rate is 9.75%, find the total cost of the tv with the sales tax included.

New Questions in Mathematics

Which set of side lengths form a right triangle? A 14m, 20m, 25m B 10cm, 6cm, 8cm C 7cm, 8cm, 10cm D 3ft, 6ft, 5 ft

A car tire has a radius of 1.5 feet. If the tire is rotating at 800 rpm, what is the speed of the car in miles per hour (1 mile = 5,280 feet) ? Round the answer to the nearest tenth.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Mrs. Walters drove 160 miles on 5 gallons of gas. How many gallons of gas will she need to travel 256 miles?

Simplify This Expression 12x + 6 + 15x

What is 347,492 rounded to the nearest ten thousand