Solve using the addition and multiplication principles

5 + 6x < 53

The solution set is < 8

You seem to be getting the right answers, but it would be nice to see your steps. Maybe you don't need our help.

To solve the inequality 5 + 6x < 53, we need to isolate the variable x.

Step 1: Begin by subtracting 5 from both sides of the inequality to isolate the term with x:
5 + 6x - 5 < 53 - 5

Simplifying:
6x < 48

Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < 48/6

Simplifying:
x < 8

Therefore, the solution set for the inequality 5 + 6x < 53 is x < 8.