assume a > 0 and b < 0. Determine whether the statement is always, sometimes, or never true.
a/b < 0
So a is always positive and b is always negative.
What is a positive divided by a negative ?
A positive divided by a negative is negative.
The statement "a/b < 0" is always true when a > 0 and b < 0.
To determine whether the statement "a/b < 0" is always, sometimes, or never true, we need to consider the possible combinations of positive and negative values for 'a' and 'b'.
Given that 'a' is greater than 0 and 'b' is less than 0:
- When 'a' is positive and 'b' is negative, dividing a positive value by a negative value will always result in a negative value. Therefore, a/b will always be negative.
Hence, the statement "a/b < 0" is always true when a > 0 and b < 0.