Question

-3z - 2 > 16 step 2 of 2: graph the solution to the given inequality. answerhow to enter your answer (opens in new window) 2 points 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.

Explanation:

Step1: Isolate the variable term

Add 2 to both sides:
$$-3z - 2 + 2 > 16 + 2$$
$$-3z > 18$$

Step2: Solve for z, reverse inequality

Divide by -3, flip sign:
$$\frac{-3z}{-3} < \frac{18}{-3}$$
$$z < -6$$

Step3: Graph setup on number line

Use open endpoint at $z=-6$, shade left to $-\infty$.

Answer:

The solution is $z < -6$. On the number line:

1. Place an open endpoint at $-6$
2. Shade all values to the left of $-6$ (towards $-\infty$)

In interval notation: $(-\infty, -6)$