Chapter 0, Problem 31PG

To determine

To solve the inequality

Answer to Problem 31PG

  $z\le \frac{11}{2}$ is the solution

Explanation of Solution

Given information:

  $-2z+15\ge 4$

Calculation:

The given inequality is $-2z+15\ge 4$

Solving the inequality,

  $-2z\ge 4-15$

Dividing inequality by -2,

  $\frac{-2z}{-2}\ge \frac{4-15}{-2}$

And,

  $\frac{-2z}{-2}\ge \frac{-11}{-2}$

When divided by a negative number, inequality flips,

So,

  $z\le \frac{11}{2}$

Hence, $z\le \frac{11}{2}$ is the solution.