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
aev [14]
3 years ago
14

If p and q are both true, then which of the following statements has the same truth-value as ~p → q?

Mathematics
1 answer:
olganol [36]3 years ago
8 0

If p and q are both true, then

\neg p \implies q

is an implication of the form

F \implies T

which is true, because every implication starting with false is true, i.e.

F \implies T = T,\quad F \implies F = T

So, we're looking for an expression evaluating to true. Let's see what we have:

A) is an AND proposition. Logical AND is true only if both parts are true. So, you have

\neg P \land \neg Q = F \land F = F

So it's not the right option.

B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have

\neg P \lor\neg Q = F \lor F = F

So it's not the right option.

C) is again an AND proposition. You have

P \land \neg Q = T \land F = F

So this is not the right option.

D) Finally, the last one is again an implication, and again it starts with false:

\neg Q \implies P = F \implies T = T

So this is true, and thus is the correct option.

You might be interested in
HELP LAST ATTEMPT ( get marked brainliest show work
Liono4ka [1.6K]

Answer:

D

Step-by-step explanation:

Area of H = 25pi

Area of J = 225pi

225pi/25pi = 9

7 0
3 years ago
Read 2 more answers
- The band wants to begin with the stage lit in magenta. What combination of colours
Makovka662 [10]
Red blue and white sperm cell, 3 points
how many chromosomes would reside in its somatic cells?
6 0
3 years ago
A video game store made a display of game console boxes show at the right. the length, width and high of each game console box i
mihalych1998 [28]
Volume=length*width*height V=2*2*2 or V+2^3 V=8 The volume of the display is 8 cubic feet
4 0
3 years ago
Y=6x^2-12x-1 minumim function value
ch4aika [34]

Answer:

(−1,5)

Step-by-step explanation:

hope this helpes

3 0
2 years ago
Read 2 more answers
In the figure, if I and I are parallel lines what is the value of x+y in degrees URGENT PLEASE PLEASE PLEASE
Zarrin [17]

Answer:

2

Step-by-step explanation:

because i am big brain

5 0
3 years ago
Read 2 more answers
Other questions:
  • It is 7 times as much to go to an amusement park as it is to go to the movies if it is $9 to go to the movies how much is it to
    5·2 answers
  • based on what you read, what kind of person was walt whitman? a. shy b. nervous c. outgoing d. lonely
    5·1 answer
  • Choose the list that shows these numbers in order from smallest to largest. 0.47, 0.5, 0.354, 0.481
    5·1 answer
  • How to sovle this equation
    8·2 answers
  • Brainlies please give me one 100 pontes if you give me a brainlies (give me a brainlies)
    7·2 answers
  • How many solutions does the following equation have?<br><br> 5k - 9 = 5k + 2
    5·2 answers
  • A typical lap around a track in the United States has length of 440 yards. How many lap would need to be complete to run a mile?
    15·1 answer
  • Which of the following is an equation of the line through (3, -1) and (−2, 14)?
    15·2 answers
  • (5+ w)(w + 4) =<br> polynomial stanford form
    14·1 answer
  • In a right triangle, a = 14.2 cm and b = 13.9 cm. Find c. Round to the<br> nearest tenth.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!