Ivan and Polina have each drawn a conclusion about multiplying negative fractions.
Ivan: The product of an even number of negative fractions is always positive.
Polina: The product of an odd number of negative fractions is always negative.
Whose conclusion is correct?
Ivan only
Polina only
O both Ivan and Polina
O neither Ivan or Polina

O both Ivan and Polina

Step-by-step explanation:

Even number means that the total number can be divided by two(2, 4, 6,) while odd number means it can't be divided by two (1, 3, 5, ...). You can also say that even number formula is 2n while odd number formula is 2n+1.

Let's pick even numbers of negative fraction. If we have 2 number of the negative fraction the product will be: (-1/2)  * (-1/3)=  1/6  

If we have 4 numbers, it will be (-1/2)   * (-1/3)    * (-1/4)   * (-1/5)= 1/120

The product is always positive because two negatives (negative multiplied by negative) will always be positive and odd numbers mean its the multiply of two. So Ivan is right.

Polina also right because an odd number of a negative fraction means there is 2n+1 number of negatives. If 2n(odd) is always positive, then the result will be positive * negative= negative.

x = 12

y = 15

step-by-step explanation: