Bunuel wrote:
If n is an integer, is (0.1)^n greater than (10)^n?
(1) n > −10
(2) n < 10
Kudos for a correct solution.
Here's anotherapproach:
Target question: Is (0.1)^n > (10)^n?
This is a good candidate forrephrasing the target question.
Since (0.1)^n is always POSITIVE, we can safely divide both sides of the inequality by (0.1)^n to get:1 > [(10)^n]/[(0.1)^n]
There's a nice rule that says (a^n)/(b^n) = (a/b)^n
When we apply this rule to the right side of the inequality, we get:1 > (10/0.1)^n
Simplify
...
