What will be the sign of the product of 5 positive and 6 negative integer please solve it argent
Answers
Answer:
product of even number of negative integers will always be positive.
product of odd number of negative integers are always negative.
product of a positive integer and a negative integer is always negative.
product of even and odd number of positive integers will always be positive.
product of two positive integers are always positive
with these 5 rules,
in the given problem,
sign of 5 positive integers are positive
sign of 6 negative integers are positive
therefore the product of these two are always positive.
What will be the sign of the product of 5 positive and 6 negative integer
Let the 5 positive integers be +a, +b, +c, +d, +e
Let the 6 negative integers be -f, -g, -h, -i, -j, -k
+a * +b * +c * +d * +e * -f * -g * -h * -i * -j * -k
(+ * + * + * + * + * - * - * - * - * - * -)(a * b * c * d * e * f * g * h * i * j * k)
[(+ * -)(+ * -)( + * -)( + * -)( + * -)(-)](a * b * c * d * e * f * g * h * i * j * k)
[(-)(-)(-)(-)(-)(-)](a * b * c * d * e * f * g * h * i * j * k)
[(- * -)(- * -)(- * -)](a * b * c * d * e * f * g * h * i * j * k)
[+ * + * +](a * b * c * d * e * f * g * h * i * j * k)
[+](a * b * c * d * e * f * g * h * i * j * k)
Let (a * b * c * d * e * f * g * h * i * j * k) be q
Then product is
+q
+q is positive