https://file.aiquickdraw.com/mathbot/file/1726831427074n19jgi0g.jpg

The inequality in the image is:

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

Let's solve this step by step.

### Step 1: Move the terms involving \( x \) to one side.
Add \( 3x \) to both sides:

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

This simplifies to:

\[
7x - 2 < 5
\]

### Step 2: Move the constant term to the other side.
Add 2 to both sides:

\[
7x < 5 + 2
\]

Simplifying the right-hand side:

\[
7x < 7
\]

### Step 3: Solve for \( x \).
Divide both sides by 7:

\[
x < 1
\]

### Final Solution:
The solution to the inequality is:

\[
x < 1
\]

Let me know if you'd like more details or if you have any questions!

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Here are 5 related questions for further practice:

1. Solve the inequality \( 2x + 5 < 3x - 4 \).
2. Solve the inequality \( 6x - 7 \geq 2x + 5 \).
3. Solve \( 5x - 2 > 3x + 6 \).
4. Solve the inequality \( 4x + 1 \leq 2x + 9 \).
5. Solve for \( x \) in \( 7x - 3 \geq 5x + 10 \).

**Tip:** When solving inequalities, be cautious about reversing the inequality sign when multiplying or dividing by a negative number.

Solve the inequality 4x - 2 < 5 - 3x for real x.

Learn how to solve the linear inequality 4x - 2 < 5 - 3x for real x with a step-by-step solution. This algebra problem covers essential concepts such as rearranging terms and dividing by a constant. Suitable for students in Grades 7-9.

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