If -5 <= a <= -2 and 2 <= b <= 5, what is the least possible value of (1a+1b)(1b−1a)? Express your answer as a common fraction.
+2668 In order to get the smallest value, you want as big of a negative number x as big of a positive number, so the answer is a super small negative. The way we can do this is by having a = -2, and b = 5.
Plug these values in:
(−12+15)∗(15−−12). This yields −21/100.
