Question

True or false if false give a counter example the product of odd numbers is always odd

Answer 1

Answer:

TRUE

Step-by-step explanation:

EXAMPLE : 3×5=15

27×5= 135

Answer 2

Answer:

            True

fo example:  3•3 = 9 (=2•4+1)

                     5•7 = 35  (=2•17+1)

                    11•13 = 143  (=2•71+1)    

Step-by-step explanation:

If k is any integer then 2k is even number and 2k+1 is odd number

If n is any other integer then 2n+1 is also some odd number

Their product:

(2k + 1)(2n + 1) = 2k•2n + 2•1k + 1•2n + 1•1 = 2(2kn + k + n) + 1

k,n are integers so 2kn also is integer.

Sum of integers is integer too, so if we name 2kn+k+n = z, then product of any two odd integers is 2z+1 which is an odd number.