888 Answered Questions for the topic discrete math
Discrete Math
10/20/20
Determine the truth value of the quantified statement in Description below. Then use quantifiers to write the negation of this statement.
Given: (∀x∈)(∃y∈), x=y2 . Determine the truth value of the quantified statement. Then use quantifiers to write the negation of this statement.
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Discrete Math
10/20/20
Let p be a prime number greater than 2. Prove that 2/ p can be expressed in exactly one way in the form 1 /m + 1 /n where m and n are positive integers with n > m
Discrete Math
10/20/20
Let p be a prime larger than 2. Prove that 2(p − 3)! ≡ −1 mod p
Discrete Math
10/19/20
Use the principle of mathematical induction to prove (in Description below)
Use the principle of mathematical induction to prove: For any integer n ≥ 1,
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Discrete Math
10/19/20
Prove or disprove: The product of an irrational number and a rational number is irrational.
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Discrete Math
10/19/20
Use an indirect proof: If n^2 + 31 is odd, then n must be even.
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Discrete Math
10/19/20
Use a direct proof: The sum of an integer and its square is even.
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Discrete Math
10/19/20
Determine the truth value of the quantified statement in Description below. Then use quantifiers to write the negation of this statement.
Given: (∀x∈)(∃y∈)(x=y2), determine the truth value of the quantified statement. Then use quantifiers to write the negation of this statement.
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10/16/20
Probability questions for discrete mathematics.
1. Let X = {2, 3, 4}. Suppose that m is chosen uniformly at random from X. Then n is chosen uniformly at random from X. Let G be the random variable whose value is gcd(m, n). Let A be the event...
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10/16/20
Discrete Maths strong induction question
(1) Prove using strong induction that every integer n > 4 can be written as a sum of two or more prime numbers. (N.B. The prime numbers do not have to be different).
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Discrete Math
10/15/20
Proof by Contradiction Question
use proof by contradiction to show that for all real numbers n, if n mod 6=1, then mod 4 ≠2
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10/13/20
Function questions
Consider a function f : {A, B, C} → {1, 2, 3, 4, 5, 6}. (i) How many different possibilities are there for the range of f? (ii) If you are also told that f is one-to-one, then how many different...
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Discrete Math Discrete Mathematics
10/12/20
Discrete Mathematics problem concerning sets
A class of 25 students has options as to which science subjects they study. The options are biology, chemistry, geology and physics. 15 of the 25 students took only two of these sciences, whilst...
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10/11/20
Discrete Mathmatics Induction
A proof by mathematical induction is supposed to show that a given property is true for every integer greater than or equal to an initial value. In order for it to be valid, the property must be...
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Discrete Math
10/11/20
Prove or disprove: the sum of a rational number and an irrational number is an irrational number.
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Discrete Math
10/11/20
Use any mathematical induction to prove that for any positive integer n, 6^n-1 is divisible by 5. (also in Description below)
Use any mathematical induction to prove that for any positive integer n, 6n-1 is divisible by 5.
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Discrete Math
10/11/20
Prove the following statement in Description below.
Prove: The product of three consecutive integers is even.
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Discrete Math
10/11/20
Use mathematical induction to prove that (in Description below) for all integers n greater than or equal to 1.
Use mathematical induction to prove that (1/(1*3))+(1/(3*5))+(1/(5*7))+...+(1/((2n-1)(2n+1)))=(n/(2n+1)) for all integers n≥1.
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Discrete Math
10/11/20
Prove the following statements in Description below.
Prove:a. The sum of an integer and its cube is even.b. An integer n is even if and only if n2+37 is odd.
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Discrete Math
10/11/20
Determine the truth value of the wff in Description below. Explain your answer.
Given: (∀x∈)(∃y∈)(x=y4), determine the truth value of the wff. Explain your answer.
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10/09/20
Need some hlp with my discrete math homework summation
Use the summation notation to rewrite the following expression.
(7 − 13) − (7 − 23) + (7 − 33) − (7 − 43) + (7 − 53) − (7 − 63) =
6
k = 1
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10/09/20
Please help with this question!!!
The cardinality of the set is , while the cardinality of the set is ----------- while the cardinality of the set is--------
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Discrete Math
10/08/20
Given the function f(x)=ax+b Find a and b if: f(-1)=7 and f(1)=-9
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Discrete Math
10/06/20
Show that for each integer k ≥ 1, if P(k) is true, then P(k + 1) is true. Look at the equation in Description below, what's the right side equal to?
We must show that P(k + 1) is true. What is the right side equal to? Give me a correct answer.(1+(1/1))(1+(1/2))(1+(1/3))...(1+(1/k+1)) = __________
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Discrete Math Discrete Mathematics
10/06/20
Let Q be the partial order relation defined on P(N)×P(N) by (A, B)Q(C, D) if and only if A ⊆ C and D ⊆ B. Is Q a partial order relation? Is Q a total order relation?
discrete mathematics problem
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