Chapter 3.2, Problem 54PPE

To determine

To solve: the inequality $y-4+2\ge 10$ .

Answer to Problem 54PPE

  $y\ge 12$

Explanation of Solution

Given:

The inequality: $y-4+2\ge 10$

First step is to simplify the left side of the inequality by adding $-4$ and 2.

  $\begin{array}{c}y-4+2\ge 10\\ y-2\ge 10\end{array}$

Now, to isolate y add 2 to both sides of the inequality,

  $y-2+2\ge 10+2$

Simplify both sides of the inequality,

  $y\ge 12$