Let's solve the inequality $5x + 1 < -x + 7$ step by step.

1. Start by isolating $x$ terms on one side of the inequality. $5x + 1 < -x + 7$ Add $x$ to both sides: $6x + 1 < 7$

2. Now, subtract 1 from both sides: $6x < 6$

3. Finally, divide both sides by 6: $x < 1$

Thus, the solution in interval notation is: $(-\infty, 1)$

Do you want more details or have any questions?

Here are 5 related questions to expand this:

1. How do you solve inequalities with more complex expressions?
2. What happens if the inequality sign is reversed?
3. How would you solve $5x + 1 \leq -x + 7$ instead?
4. Can you graph the solution on a number line?
5. What happens if you divide both sides of an inequality by a negative number?

Tip: When dividing both sides of an inequality by a negative number, remember to reverse the inequality sign.