https://file.aiquickdraw.com/mathbot/file/1727866313285be2juofh.jpg

The inequality from the image is:

\[
5 - 2x < 4 - 2x + 3
\]

### Step-by-Step Solution:

1. Simplify the right-hand side of the inequality:
\[
4 - 2x + 3 = 7 - 2x
\]
Now the inequality is:
\[
5 - 2x < 7 - 2x
\]

2. Eliminate \(-2x\) from both sides by adding \(2x\) to both sides:
\[
5 < 7
\]

3. This simplifies to:
\[
5 < 7
\]

Since this is always true, the inequality holds for all real numbers. Therefore, the solution is:

\[
x \in (-\infty, \infty)
\]

In conclusion, any real value of \(x\) satisfies the inequality.

---

Would you like more details or have any other questions?

Here are some related questions:

1. How do you solve inequalities with variables on both sides?
2. What are the key differences between solving equations and inequalities?
3. What happens when inequalities result in a false statement (e.g., \(5 > 7\))?
4. How do you graph solutions to inequalities on a number line?
5. Can inequalities have no solution?

**Tip:** Always check whether simplifying the inequality changes its direction when multiplying or dividing by a negative number.

Solve the inequality: 5 - 2x < 4 - 2x + 3

Learn how to solve the inequality 5 - 2x < 4 - 2x + 3 with a step-by-step solution. This algebraic problem focuses on simplifying expressions and manipulating inequalities. Ideal for students in Grades 7-9.

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