Question

consider the following inequality: 2(-3z + 3) > 2z - 18 step 2 of 2: graph the solution to the given inequality. answer how to enter your answer (opens in new window) pressing the buttons will create an interval with the indicated endpoint type. the interval is graphed by moving the endpoints to the desired values. to remove graphed intervals, use the clear button. to indicate infinity or negative infinity, drag an open end point to the end of the number line. real number line -∞ -10 -8 -6 -4 -2 0 2 4 6 8 10 ∞

Explanation:

Step1: Solve the inequality

$$\begin{align*} 2(-3z + 3)&>2z-18\\ -6z+6&>2z - 18\\ -6z-2z&>-18 - 6\\ -8z&>-24\\ z&<3 \end{align*}$$

Step2: Graph the solution

Since \(z < 3\), we use an open - circle at \(z = 3\) (because \(3\) is not included in the solution) and shade the part of the number line to the left of \(3\).

Answer:

Graph an open - circle at \(3\) and shade the number line to the left of \(3\).