LenaC5625 LenaC5625
  • 14-09-2019
  • Mathematics
contestada

Determine whether p ∧ (p → q) and p ∧ q are logically equivalent.

Respuesta :

carlos2112
carlos2112 carlos2112
  • 25-09-2019

Answer:

Yes they are logically equivalent

p∧(p→q)≡p∧q

Step-by-step explanation:

The statements are logically equivalent if they have the same truth tables. So let´s use truth tables in order to determine if they are logically equivalent or not:

The picture that I attached you shows the truth table for each case. As you can see, p∧(p→q) has exactly the same truth values as p∧q. So we can conclude that they are logically equivalent.

Ver imagen carlos2112
Answer Link

Otras preguntas

No sé calcular mi presupuesto. Estoy ________ dinero en cosas que no valen la pena. A. ahorrando B. ganando C. gastando D. pagando
finish the sequence using deductive reasoning. 3,6,12,?,?,?,?
Please help me answer all the questions in the photo
Answer the questions about Martin Luther King Jr.’s “I Have a Dream” speech. At what event did King deliver his “I Have a Dream” speech?
Find the unit rate. A quart (32 ounce) bottle of milk costs $1.19
What does (5+11)-(24-15) x (3) =
Ernest Shackleton south primley uses what structure
If companies can become more productive by increasing their physical capital, why would a company not buy up-to-date computers for all employees each year?
What is the quadratic function that is created with roots -3 and 1 and a vertex at (-1, -8)
What is f(6)? Enter your answer rounded to the nearest tenth in the box.