Q1 ARITHMETIC PROBLEMS
x and y are real numbers satisfying the conditions 2<x<3 and -8< y <-7. Which of the following expressions will have the least value?
Given that 2 < x <3 and -8< y < -7.
From here we get -24 <xy <-16
Since y is negative and xy is also negative so xy^2 will always be positive.
If we multiply xy with x and if we multiply xy with 5, then we have the following:
-72 < x^2y<-32 and -120 <5xy <-80
Comparing these we see that 5xy will always have the least value among the given three expressionsWrite Here