Chapter 12.5, Problem 47MR

To determine

To find: The inequality $4-3a<3a-2$ .

Answer to Problem 47MR

The simplified for the inequality is $1<a$ .

Explanation of Solution

Given information:

The given inequality is $4-3a<3a-2$ .

Calculation:

Consider the inequality.

  $4-3a<3a-2$ .......... (1)

Add $2$ on both sides.

  $\begin{array}{l}6-3a<3a-2+2\\ 6-3a<3a\end{array}$

Add $3a$ on both sides.

  $\begin{array}{c}6-3a+3a<3a+3a\\ 6<6a\end{array}$

On preceding the next,

Divide by $6$ on both sides.

  $\begin{array}{l}\frac{6}{6}<\frac{6}{6}a\\ 1<a\end{array}$

Therefore, the simplified for the inequality is $1<a$ .