QuestionSolve the inequality $|3z - 1| > z + 9$.

Studdy Solution
Now, we have two solutions from the two cases. However, we need to check if these solutions satisfy the original inequality.The solutions are $z >5$ and $z < -2$.We can see that these two solutions do not overlap, so the solution to the original inequality $|3z-| > z+9$ is$$z < -2 \, \text{or} \, z >5$$