Solve the problem.
-The sum of 81 times a number and the reciprocal of the number is positive. Find the numbers which satisfy this condition.
A) any number greater than 0
B) any number greater than $\frac { 1 } { 9 }$
C) any number between $- \frac { 1 } { 9 }$ and $\frac { 1 } { 9 }$
D) any number between 0 and $\frac { 1 } { 9 }$

Question

Quizplus · Accepted Answer

The expression given is $81x + \frac{1}{x}$, where $x$ is the number in question. For this sum to be positive, both terms must be positive or the positive term must outweigh the negative term. Since $81x$ is positive for any $x > 0$ and $\frac{1}{x}$ is also positive for any $x > 0$, any positive number will satisfy the condition. Negative values of $x$ would make $81x$ negative, which cannot satisfy the condition given that the sum is positive.

Solve the Problem 19\frac { 1 } { 9 }91​ C) Any Number Between

Solve the Problem $\frac { 1 } { 9 }$ C) Any Number Between