Nswer show correct answer flag for review if there are more than two numbers in a certain list, is each of the numbers in the list equal to 0 ? (1) the product of any two numbers in the list is equal to 0. (2) the sum of any two numbers in the list is equal to 0.
Answers
Given : there are more than two numbers in a certain list,
To Find : is each of the numbers in the list equal to 0
(1) the product of any two numbers in the list is equal to 0.
(2) the sum of any two numbers in the list is equal to 0.
Solution:
product of any two numbers in the list is equal to 0.
Let say 3 numbers { A , B , C }
AB = 0
AC = 0
BC = 0
if B = 0 & C = 0 then all product combination are zero
but A is not necessarily zero
each of the numbers in the list is not equal to 0
(2) the sum of any two numbers in the list is equal to 0.
Let say 3 numbers { A , B , C }
A+B = 0
A+C = 0
B+C = 0
A+ B = A + C => B = C
=> B + C = 0
=> B + B = 0
=> B = 0 , C = 0 & A = 0
each of the numbers in the list equal to 0
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