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
Cloud [144]
3 years ago
15

If p is true and q is false, the p -> q is always, sometimes, never true.

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

1. If p is true and q is false, the p -> q is never true.

2. When p is false and q is true, then p or q is always true.

3. If p is true and ~ q is false, then p -> ~ q is never false.

4. If p is true and q is true, then ~ p -> ~ q is always true.

5. If p -> q is true and q is true, then p is always true.

Further Explanation:

The logic gates are used here.

Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.

So let us look at all the questions one by one.

1. If p is true and q is false, the p -> q is always, sometimes, never true.

p -> q

true -> false

The true should imply true so the given statement will never be true.

2. When p is false and q is true, then p or q is always, sometimes, never true.

false or true

We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.

3. If p is true and ~ q is false, then p -> ~ q is always, sometimes, never false.

This translates to:

true -> true

So it will never be false.

4. If p is true and q is true, then ~ p -> ~ q is always, sometimes, never true.

This translates to:

false -> false

This will always be true.

5. If p -> q is true and q is true, then p is always, sometimes, never true.

If p->q is true and q is true then p will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.

Learn more at:

  • brainly.com/question/1466393
  • brainly.com/question/1687476

#LearnwithBrainly

You might be interested in
Evaluate the expression for the given values.
elixir [45]

Answer:

3

Step-by-step explanation:

1•5-2

5-2=3

8 0
3 years ago
Read 2 more answers
What is 15 multiplied by t as a numerical or algebraic expression?
Makovka662 [10]

Numerical ==> 15 x t

Algebraic ==> 15t

4 0
3 years ago
6051 m is equal to how many km?
Luba_88 [7]
6,051m = 6,000m + 51m

1km=1,000 metres

--------------------------------

Therefore:

6,051 metres = 6,000/1,000km + 51/1,000km

=6,051/1,000km

=6.051km
8 0
3 years ago
Read 2 more answers
3x+2y=25<br> 5x+6y=57<br> What the x and y? HELP
son4ous [18]

Answer:

x=4.5

y=5.75

Step-by-step explanation:

since you dont have much time to wait, i wont put an explanation here

6 0
3 years ago
Read 2 more answers
Please be quick! I need this as soon as possible!
Katarina [22]

Answer:

64%

Step-by-step explanation:

The nickel= 9/25

The copper=16/25

1. Multiply by 4 to get a total of 100

nickel=36/100

copper= 64/100

Sorry if it is wrong but i hope i was right

5 0
3 years ago
Read 2 more answers
Other questions:
  • I need the area! <br><br> Of this picture
    10·1 answer
  • The graph of the function f(x) = 0.5|x| is than its parent graph, f(x) = |x|.
    10·1 answer
  • Slope intercept form of (0,3) and (5,1)
    14·1 answer
  • Kelsie sold digital cameras on her web site. She bought the cameras for $65 each and included a 60% markup to get the selling pr
    15·2 answers
  • I need help on this. The portrait studio can buy photographs on canvas. The small canvas photograph print is $20 and the large c
    8·1 answer
  • PLEASE HELP WILL GIVE THANKS OR BRAINLIEST!!!
    6·2 answers
  • 2. A display window consists of a stacked pyramid of books for sale. The bottom row has 27 books. Each row has two fewer books t
    6·1 answer
  • Help ill give brainleist
    7·2 answers
  • Sarah changed the quadratic function x^2 - 8x+10 from
    8·1 answer
  • A new cars salesperson, sold an average of $44,531 per day for the first 2 days she worked. The next 11 days she worked, she sol
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!