https://file.aiquickdraw.com/mathbot/file/1726088283138rby1qja2.jpg

Let's solve the inequality:

\[
8g - 5g - 4 \leq -3 + 3g
\]

### Step 1: Simplify both sides
First, simplify the left side by combining like terms:
\[
(8g - 5g) - 4 \leq -3 + 3g
\]
\[
3g - 4 \leq -3 + 3g
\]

### Step 2: Eliminate the variable from one side
Subtract \(3g\) from both sides to eliminate the variable from the right-hand side:
\[
3g - 4 - 3g \leq -3 + 3g - 3g
\]
\[
-4 \leq -3
\]

### Step 3: Analyze the result
The inequality simplifies to:
\[
-4 \leq -3
\]
This is a true statement, meaning the inequality holds for **all values of \(g\)**.

### Conclusion:
The solution is **all real numbers**, or \( g \in \mathbb{R} \).

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What happens when an inequality has no solution?
2. How do you solve inequalities with absolute values?
3. Can inequalities be solved similarly to equalities?
4. What are the key differences between solving equations and inequalities?
5. How can graphing an inequality help in visualizing its solution?

**Tip:** Always check your result by testing values in the original inequality to ensure your solution is correct.

Solve the inequality: 8g - 5g - 4 ≤ -3 + 3g

This page provides a detailed step-by-step solution to solve the inequality 8g - 5g - 4 ≤ -3 + 3g. The solution involves combining like terms and analyzing the inequality. Suitable for students in Grades 7-10.

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