discrete math

use a direct proof to show that the product of two odd numbers is odd.

Proofs: (all the nos. i used are odd)
3 x 3 = 9
5 x 9 = 45
7 x 3 = 21

Yes, but you didn't prove the statement for "all" odd integers, only the odd integers you selected.

uhm..he didn't ask for *all* odd integers..

This is Audryana's first post
"use a direct proof to show that the product of two odd numbers is odd."
That is a general statement that means 'any' two odd numbers.

ya..so...that's wat i was saying 'any' not all..

Ok, I see you have a little to learn about logic. The terms 'any', 'for each' and 'all' are used interchangably in logic and mathematics to form universals. You provided examples, or particulars as they're called, but that didn't suggest any kind of proof. It only verified the statement for a couple cases, that's all I was trying to point out.

ok....thx for telling me that...

prove the square root of 2 is irrational

Can you show me how f of X function 6X-9 Is unto or one to one.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. maths

    1. If the first and third of three consecutive odd integers are added, the result is 51 less than five times the second integer. Find the third integer. Let the 3 numbers be x, (x + 1) and (x + 2). Then, x + (x + 2) = 5(x + 1) -

  2. math

    which expression represent the product of 2 consecutive odd integers where n is an odd integer? 1)n(n+1) 2)n(n+2) 3)n(n+3) 4)2n+1

  3. math

    find how many six-digit numbers can be formed from the digits 2,3,4,5,6,7 (with repetitions) if a) numbers formed must be even b) the numbers formed must be divisble by 25 c) the odd digits must occupy even position (2nd, 4th,

  4. Calculus, check my answers, please! 3

    Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is

  1. Math

    If m and p are positive integers and (m + p)x m is even, which of the following must be true? Would it be: (A) if m is odd, then p is odd. (B) if m is odd, then p is even. (C) if m is even, then p is even and (D) if m is even,

  2. Math

    Write a quadratic equation to find two consecutive odd natural numbers whose product is 63. Then find the numbers.

  3. math

    suppose a pair of dice is rolled. Consider the sums of numbers on the top of the dice. Find the probabilities: a) P(5, given that the sum are odd) b) P(odd, given that the sum rolled is 5) c) P(7, given that one of the dice rolled

  4. Geometry

    Working on conjectures. The question is Conjecure: The product of any two odd numbers is _____? It shows several examples of odd numbers x odd numbers and the products are all odd. So I think the right answer is "odd numbers" but

  1. math

    M is an odd integer. For each of the following numbers, check if the number is odd. 2m- 1 2m +1 m^2 - m m^2 +m+1

  2. Math

    make a conjecture for the following show work the sum of an even and odd number. - the product of two odd numbers.

  3. Math

    I cannot solve this pattern! 1,1,4,3,9,6,16,10,25,15 HINT: two different patterns are intertwined BIGGER HINT: only look at every other number This is a conjured up sequence not identifiable by any recursion formula. The first

  4. Calculus, check my answer, please! 2

    Consider the following functions: f(x)=sin(x^4-x^2) h(x)=(|x|-3)^3 g(x)=1n(|x|)+3 s(x)=sin^3(x) Which of the following is true? h and g are even, f and s are odd. f is even, h and s are odd. h and s are even, f is odd. ***f and h

You can view more similar questions or ask a new question.