Chapter 0, Problem 37PG

To determine

To solve the inequality

Answer to Problem 37PG

  $n<-15$ is the solution.

Explanation of Solution

Given information:

  $\frac{2}{3}n<\frac{3}{9}n-5$

Calculation:

The given inequality is $\frac{2}{3}n<\frac{3}{9}n-5$

Solving the inequality,

  $\frac{2}{3}n<\frac{1}{3}n-5$

Subtracting $\frac{1}{3}n$ from both sides,

  $\frac{2}{3}n-\frac{1}{3}n<\frac{1}{3}n-5-\frac{1}{3}n$

So,

  $(\frac{2-1}{3})n<-5$

Multiplying by 3,

  $\frac{n}{3}(3)<-5(3)$

And,

  $n<-15$

Hence, $n<-15$ is the solution of the inequality.