Question

solve the inequality. graph the solution set and write the set in interval notation. 4<1+z
----------------------> graph

Answer 1

who ever should help me with this can you give me step by step process so I can learn how to do this?

Answer 2

You first need to isolate z.
Do this by subtracting 1 from each side of the inequality.
You get 3 < z

This means that z is greater than 3.

Which can be written in interval notation like this:\[(3,\infty)\] the graph of this inequality starts at 3 and continues forever to infinity. It does not include 3 so you leave the point at 3 open.

Answer 3

Here is how you graph it. If the inequality had originally read
\[4\le1+z \]the point would include 3 and because of that would be shaded in.