Chapter 0, Problem 33PG

To determine

To solve the inequality

Answer to Problem 33PG

  $k\ge -75$ is the solution.

Explanation of Solution

Given information:

  $-\frac{2}{5}k-20\le 10$

Calculation:

The given inequality is $-\frac{2}{5}k-20\le 10$

Solving the inequality by adding 20 to both sides of equation,

  $-\frac{2}{5}k-20+20\le 10+20$

So,

  $-\frac{2}{5}k\le 30$

Dividing by $\frac{-5}{2}$ ,

  $-\frac{2}{5}k\times (\frac{-5}{2})\le 30\times (\frac{-5}{2})$

When multiplied by a negative number, inequality is flipped.

  $k\ge -75$

Hence, $k\ge -75$ is the solution of the inequality.