solve for x:

x/2 - 8 < 1

To solve for x in the inequality x/2 - 8 < 1, we need to isolate x on one side of the inequality symbol.

First, let's add 8 to both sides of the inequality to eliminate the -8 on the left side:

x/2 - 8 + 8 < 1 + 8

This becomes:

x/2 < 9

Next, to remove the division by 2, let's multiply both sides of the inequality by 2:

(2)(x/2) < (2)(9)

This simplifies to:

x < 18

Therefore, the solution to the inequality x/2 - 8 < 1 is x < 18.