Chapter 0.6, Problem 19E

To determine

To solve the equation $\frac{2}{5}b-6\le -2$

Answer to Problem 19E

  $b\le 10$

Explanation of Solution

Given Information: $\frac{2}{5}b-6\le -2$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $\frac{2}{5}b-6\le -2$

To isolate the variable b, adding 6 both sides-

  $\frac{2}{5}b-6+6\le -2+6$

This gives-

  $\frac{2}{5}b\le 4$

To isolate the variable b, multiply by $\frac{5}{2}$ both sides-

  $\frac{2}{5}b\times \frac{5}{2}\le 4\times \frac{5}{2}$

This gives-

  $b\le 10$

Hence the final answer is,

  $b\le 10$