Question

If -2 < x < -1 then which of the following orders x , x^2 , and x^3 from least to greatest?

A. x < x^2 < x^3
B. x^2 < x^3 < x
C. x^3 < x < x^2
D. x < x^3 < x^2
E. x^3 < x^2 < x

Answer 1

The Answer is C

Explanation:

we know that x is a negative number since it is between -1 and -2. A negative number cubed will be a negative number and since we're multiplying, x^3 will be less than x. A negative number squared will be positive, thus x^2 is the greatest.