To solve the inequality:

$2x - 7 > 3$

Step-by-Step Solution

1. Add 7 to both sides to isolate the term with $x$: $2x > 3 + 7$ $2x > 10$

2. Divide by 2 to solve for $x$: $x > \frac{10}{2}$ $x > 5$

Solution

The solution is: $x > 5$

Would you like more details or have any questions?

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1. How do inequalities change if both sides are multiplied by a negative number?
2. What are the different types of inequalities?
3. How can you represent $x > 5$ on a number line?
4. How do inequality solutions differ from equation solutions?
5. How can compound inequalities be solved?

Tip: When solving inequalities, remember that multiplying or dividing by a negative number reverses the inequality sign.