Question

State the sign of the product of: i. 5 positive integers and 6 negative integers .ii. 12 positive integers and 9 negative integers

Answer 1

Answer:

By using identities (-,- = +), (+,+ = +), (-,+ = -)

Step-by-step explanation:-

Let us take 1 as example

i.  5 positive integers and 6 negative integers

=> (1)*(1)*(1)*(1)*(1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)

=> (1)*(1)*(-1)*(1)*(1)*(-1)

=> (1)*(-1)*(-1)

=> (1)*(1)

=> +1

similarly,

ii. 12 positive integers and 9 negative integers

=> (1)*(1)*(1)*(1)*(1)*(1)* (1)*(1)*(1)*(1) *(1)*(1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)*(-1)

=> (1)*(1)*(1)*(1)*(1)*(1)*(1)*(1)*(1)*(1)*(-1)

=> (1)*(1)*(1)*(1)*(1)*(-1)

=> (1)*(1)*(-1)

=> (1)*(-1)

=> -1

Hope you understand it...

have a great day dear