Chapter 0.6, Problem 15E

To determine

To solve the equation $-3b\le 48$

Answer to Problem 15E

  $b\ge -16$

Explanation of Solution

Given Information: $-3b\le 48$

Formula Used : Linear inequality with one variable

Calculation:

Given equation is

  $-3b\le 48$

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

  $\frac{-3}{3}b\le \frac{48}{3}$

This gives

  $-b\le \frac{48}{3}$

Breaking down 48 into its factors-

  $-b\le \frac{3\times 8\times 2}{3}$

This gives

  $-b\le 16$

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

  $b\ge -16$

Hence the final answer is,

  $b\ge -16$