Chapter 0.6, Problem 23E

To determine

To solve the equation $-3w+1\le 8$

Answer to Problem 23E

  $w\ge -\frac{7}{3}$

Explanation of Solution

Given Information: $-3w+1\le 8$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $-3w+1\le 8$

To isolate the variable w, subtracting 1 both sides-

  $-3w+1-1\le 8-1$

This gives -

  $-3w\le 7$

To isolate the variable w, divide by 3 both sides-

  $-\frac{3}{3}w\le \frac{7}{3}$

This gives-

  $-w\le \frac{7}{3}$

To isolate the variable a, multiply by $-1$ both sides and the inequality sign changes-

  $w\ge -\frac{7}{3}$

Hence the final answer is,

  $w\ge -\frac{7}{3}$