Question

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 ?

• A. $x^{2}y$
• B. $x{y}^2$
• C. $5xy$
• D. $x^2{y}^2$

Answer 1

The correct option is C $5xy$

2 < x < 3 and -8 < y < -7
$4<x^2<9$
and - 8 < y < - 7
$-72<x^{2}y<-28$
While - 120 < 5xy < - 70
Hence, 5xy is the least because $x{y}^2$ and $x^2{y}^2$ is positive