Final answer:
To solve the inequality 6.2x + 1 < 21 - 3.8x, add 3.8x to both sides, subtract 1 from both sides, and divide by 10 to find x < 2.
Step-by-step explanation:
To solve the inequality 6.2x + 1 < 21 - 3.8x, we need to get the x terms on one side and the constant terms on the other side. Adding 3.8x to both sides and subtracting 1 from both sides, we get 10x < 20. Dividing both sides by 10, we find x < 2. So, the solution to the inequality is x < 2.