Solve the inequality z - 8 < 17

Question

Graph the solution.

Answer 1

To solve the inequality z - 8 < 17, we can add 8 to both sides of the inequality to isolate the variable z:

z - 8 + 8 < 17 + 8,
z < 25.

Now let's graph the solution. Since the inequality is strictly less than, we will use an open circle at 25 on the number line and shade to the left of it to represent all the values of z that are less than 25.

The graph will look like this:

<=======o----------------
25