456 Answered Questions for the topic logic
12/08/18
How do I prove this statement using the axioms of integer arithmetic: If a < 0, b > 0, then ab < 0?
Logic
11/24/18
Translate the following sentence into symbolic form and form a truth table for it.
The bear ate honey or fish. If the bear ate fish, then it did not eat honey. Hence, it is not the case that the bear ate honey.
11/11/18
problem solving and logic
Given some numbers and you can use any of these numbers twice.How many 2-digit numbers can be made with the numbers.a) 3 and 4b) 3,4 and 5c) 3,4,5 and 6
11/11/18
ratios and logic
A landscape supplier buys 2 tonnes of fertiliser and fills an equal number of plastic bags (different sizes weighing differently) for resale. How many bags of each size will he have if:a) he fills...
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Logic Other
09/19/18
Use the laws of propositional logic to prove p ↔ (p ∧ r) ≡ ¬p ∨ r.
Use the laws of propositional logic to prove p ↔ (p ∧ r) ≡ ¬p ∨ r
Verify is tautology by using logical equivalence
Verify is tautology by using logical equivalence:((p ∨ q) ∧ (p → r) ∧ (∼ r)) → qby showing what law is using
08/08/18
Eric and Marina each wrote two or three poems everyday. Over a period of time, Eric wrote 43 poems while Marina wrote 61.
How many days were in this period of time? 18,19,20,21, or 22 days
Thanks so much
04/11/18
If x is divisible by 12, then it is divisible by 8
The statement "If x is divisible by 12, then it is divisible by 8" is false is x equals:
a) 4
b) 20
c) 36
d) 48
Logic
03/19/18
The negation of the statement ~q∧(~p∨~r) is:
~q∧(~p∨~r)
Whats ts the negation of this statement?
02/27/18
What is a set of 7 different numbers that has a median of 93?
Math problem that requires logic and understanding of Algebra.
Logic
01/26/18
Translating sentences into propositional logic
a) Alice is wise, if she is a doctor.
b) If Alice spoke to Bob, then Eve overheard her.
c) If Alice is wise, then she will be neither poor nor unhappy.
d) Exactly two of Alice, Bob and Carol...
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Logic
01/26/18
If an argument has a false conclusion it must be invalid.(t or f) ?
If an argument has a false conclusion it must be invalid.
01/25/18
Set Theory/Math Logic
Is there any way to prove that
- Every point in A intersect B is greater than or
equal to 1?
- The intersection of two sets has a point in commonwith another set?
If there is no way to...
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01/17/18
Using induction, show that ∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1)
∀n∈N \ {0,1}, 1 + 1/(2^2) + … + 1/(n^2) > 3n/(2n + 1)
N denotes the Natural Numbers. I tried adding 1/(n+1)^2 to both sides but am stuck.
10/31/17
Why is the empty set not a subset of the set of an empty set?
Im wondering, because several sources state that the empty set is a subset of EVERY set. Yet this instance seem to be proving that statement wrong.
Update: To be more specific and clear, the...
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Logic
10/21/17
In a set of integers between the numbers 1 and 10,000, how many of these numbers are divisible by 3, 4, 5 and 11?
In a set of integers between the numbers 1 and 10,000, how many of these numbers are divisible by 3, 4, 5 and 11?
Logic
09/18/17
5 times the greateat of three consecutive even integers is equal to twice the sum of the other two integer plus 42. What are the three integers?
This problem is impossible
Logic
08/23/17
One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?
One-tenth of the cars in a car park are yellow. Another car arrives and now one-ninth of the cars are yellow. How many cars are now in the car park?
06/28/17
Math/Logic question I can't find the correct answer anywhere
1+4=5
2+5=12
3+6=21
8+11=
I have seen 3 examples of answers people say are correct
Example 1 answer 96
1×4=4+1=5
2×5=10+2=12
3×6=18+3=21
8×11=88+8=96
Example 2 answer...
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Logic
06/23/17
TwO days ago i was 10 years old &will be of 13 next year if i am speaking the truth whats todays date
Options are
28 feb
29feb
31 dec
Or 1 jan
06/16/17
Trying to recall a problem about balls.
There are 30 balls of 10 colors, 3 of each color. One of each 3 balls form the same color is fake. You are allowed to pass several balls, and see whether there are fake balls among them or not....
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Logic
04/04/17
Let " n be a positive integer. Then show that 32n+1 + 2n-1 is multiple of 7 by using Mathematical Induction method
Soo need to know the steps in making this question work out . plz can any one help
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