Question

True or False? If ab<0, then a<0, b>0 or a>0, b<0

Answer 1

True

Explanation:

If ab < 0, then ab = negative #.

In order for ab to be a negative #, one of them has to be negative while the other one needs to be positive.

Example:

a = -2, b = 1

ab < 0

(-2)(1) < 0

-2 < 0, TRUE

a < 0

-2 < 0, TRUE

b > 0

1 > 0, TRUE

If I switch a = -2 to 1 and b = 1 to -2, a > 0 and b < 0 is true too.