1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KonstantinChe [14]
3 years ago
5

A set of premises and a conclusion are given. Use the valid argument forms discussed in this chapter to deduce the conclusion fr

om the premises, giving a reason for each step. Assume all variables are statement variables. (a) p ∨ q (b) q → r (c) p ∧ s → t (d) ~r (e) ~q → u ∧ s (f) ∴t Make selections from the ones below to show the first steps of a proof and the reason for the conclusion.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Answer:

See deduction below

Step-by-step explanation:

I will use the known inference rules (modus ponens, etc)

From d) and b),

~r

q → r

Therefore ~q (by Modus Tollens)

From a), and our previous conclusion:

p ∨ q

~q

Therefore p (by disjunctive sillogism)

Until know, we have concluded p and ~q. By e)

~q → u ∧ s

~q  

Therefore u∧s. (Modus Ponens)

From p, u∧s, and c)

u∧s

s (simplification)

p (previous conclusion)

p∧s (adjuntion)

p∧s→t (Modus Ponens)

Therefore t, as we wanted to conclude.

You might be interested in
9 - 10x = 2x + 1 - 8x
Furkat [3]

Answer:

x=2

Step-by-step explanation:

9 - 10x = 2x + 1 - 8x

9-10x=-6x+1

Subtract 9 from both sides:

9-10x-9=-6x+1-9

-10x=-6x-8

Add 6x to both sides:

-10x+6x=-6x-8+6x

-4x=-8

Divide both sides by -4:

\frac{-4x}{-4}=\frac{-8}{-4}

x=2

8 0
3 years ago
Read 2 more answers
Find the square root of the cube of 10.3
abruzzese [7]
Taking a sqrt=taking a 1/2 power, so when you take a power of a power, you multiply them. So you’re finding 10.3^(3/2).

=33.056
5 0
3 years ago
Read 2 more answers
Write each fraction in simplest form
mihalych1998 [28]

Answer:

1. 10 in / 3 ft

2. 5 min / 1 h

3. 1 kg / 250 g

Step-by-step explanation:

4 0
2 years ago
Which number line shows the solution to 5 + (−5)?
alex41 [277]

Answer:

first one is A  and the second one is B.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
John has $20.43 dollars in his pocket. He buys a tv for $15.39 dollars. How many dollars does John have left?
AleksAgata [21]
All you do is subtract what John is spending from the amount he has. 20.43-15.39= $5.04
4 0
3 years ago
Other questions:
  • What is 0.1 times 30
    8·1 answer
  • For a trapezoid, the following formula relates the area a, the two bases a and b, and the height h. a= g (a
    5·1 answer
  • In math is. about 20 miles per hour add or subtract
    7·2 answers
  • How do I solve x^2+10x-25 by completing the square
    13·1 answer
  • Can some one help with this one question
    13·2 answers
  • Which one of these is not like the others? [Things to think about, but not limited to…… what way does the graph open? Signs of t
    7·1 answer
  • Barb went to grottos pizza and ordered 7 large pizzas Her total bill was $49
    12·1 answer
  • the sum of two numbers is 49.Twice the smaller number is 97 less than 3 times the larger number.What are the numbers. help mee I
    14·1 answer
  • Question 19: Solve for X.
    7·1 answer
  • danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!