15 Integers are multiplied together. If 10 of them are positive and 5 are negative, then the sign of their product will be negative.
True
When even number of positive integers are multiplied, the sign of their product is positive. Therefore, the sign of the product of 10 positive integers will be positive.
When odd number of negative integers are multiplied, the sign of their product is negative. Therefore, the sign of the product of 5 negative integers will be negative.
The product of positive and negative will be negative.
Hence, the sign of product of 10 positive and 5 negative integers will be negative.