please please explain

solve using the addition and multiplication principles

5 + 2x <21

subtract five from each side, then divide both sides by 2.

I get 8 is that correct

To solve the inequality 5 + 2x < 21 using the addition and multiplication principles, we need to isolate the variable x on one side of the inequality.

Step 1: Start by subtracting 5 from both sides of the inequality:
5 + 2x - 5 < 21 - 5
2x < 16

Step 2: Now, let's isolate x by dividing both sides of the inequality by 2:
(2x)/2 < 16/2
x < 8

So, the solution to the inequality is x < 8.