Chapter 11.1, Problem 41E

To determine

To solve the inequality.

Answer to Problem 41E

  $y<0.4$ or $y<0.25$

Explanation of Solution

Given information: $-3\left(3y-2\right)<1-9y$

Formula Used: Simplify

Calculation:

  $-3\left(3y-2\right)<1-9y$

So, simplify

  $-3<1-9y$ or $3y-2<1-9y$

Now,

  $9y<1+3$ or $3y+9y<1+2$

So,

  $9y<4$ or $12y<3$

Now,

  $y<\frac{4}{9}$ or $y<\frac{3}{12}$

Hence,

  $y<0.4$ or $y<0.25$