https://file.aiquickdraw.com/mathbot/file/1729823179082wknpgprd.jpg

Let's analyze the two inequalities step by step.

### 11) Solve the inequality:  
\[
\frac{48}{4} \geq \frac{x}{4}
\]

1. Multiply both sides by 4 to eliminate the denominator:
   \[
   48 \geq x
   \]
   This simplifies to:
   \[
   12 \geq x
   \]
   which can also be written as:
   \[
   x \leq 12
   \]
   The solution \(12 \geq x\) is correct.

### 12) Solve the inequality:
\[
17(3 - x) \geq 3 - 13x
\]

1. Distribute 17 on the left-hand side:
   \[
   51 - 17x \geq 3 - 13x
   \]
2. Add \(13x\) to both sides to move the variable terms to one side:
   \[
   51 - 17x + 13x \geq 3
   \]
   Simplifies to:
   \[
   51 - 4x \geq 3
   \]
3. Subtract 51 from both sides:
   \[
   -4x \geq 3 - 51
   \]
   Simplifies to:
   \[
   -4x \geq -48
   \]
4. Divide both sides by -4, and remember to reverse the inequality sign:
   \[
   x \leq 12
   \]

   The final solution is:
   \[
   x \leq 12
   \]

### Conclusion:
Both inequalities are solved correctly, and in both cases, the solution is \(x \leq 12\).

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions to explore:
1. How do you solve inequalities that involve fractions?
2. What happens when you divide or multiply by a negative number in inequalities?
3. How can inequalities be graphed on a number line?
4. How does solving an inequality differ from solving an equation?
5. How do you solve compound inequalities?

**Tip**: When solving inequalities, always remember to reverse the inequality sign when multiplying or dividing by a negative number.

Discover how to solve the inequalities involving algebraic expressions, such as solving inequalities with fractions, distributing coefficients, and reversing inequality signs when multiplying or dividing by negative numbers. This problem covers essential algebra concepts for students in Grades 7-10.

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