Chapter 6.1, Problem 45SR

To determine

To solve the given inequality and to graph the solution of it.

Answer to Problem 45SR

Solution is $y\le -1$ and the graph is,

Explanation of Solution

Given:

  $y+1\ge 4y+4$

Calculation:

  $y+1\ge 4y+4$

Subtracting 1 on both sides, we get

  $\begin{array}{l}y+1-1\ge 4y+4-1\\ \Rightarrow y\ge 4y+3\end{array}$

Subtracting 4y on both sides, we get

  $\begin{array}{l}y-4y\ge 4y+3-4y\\ \Rightarrow -3y\ge 3\end{array}$

Dividing by $-3$ on both sides, we get

  $\begin{array}{l}\frac{-3y}{-3}\ge \frac{3}{-3}\\ \Rightarrow y\le -1\end{array}$

Now the graph is,