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QUESTION IMAGE

solve the inequality and graph the solution. 1 < \\frac{z - 1}{3} plot …

Question

solve the inequality and graph the solution.
1 < \frac{z - 1}{3}
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
submit

Explanation:

Step1: Multiply both sides by 3

$$1\times3<\frac{z - 1}{3}\times3$$
$$3

Step2: Add 1 to both sides

$$3+1$$4

Answer:

The solution of the inequality is \(z>4\). On the number - line, we use an open circle at \(z = 4\) and draw a ray to the right of \(4\) (since \(z\) is greater than \(4\)).