5
 6(3−𝑥)−1
 2(𝑥−4)≥1
 3(2𝑥−3)−�

It seems like you're presenting part of an inequality or equation, but the last part of the expression is incomplete. Here's what I can work with based on what you've written:

### Given:
1. \( 6(3 - x) - 1 \)
2. \( 2(x - 4) \geq 1 \)
3. \( 3(2x - 3) - \) [expression incomplete]

Could you clarify or complete the third expression? 

In the meantime, I can solve the second inequality:

### Solve \( 2(x - 4) \geq 1 \):

1. Expand the left-hand side:  
   \( 2x - 8 \geq 1 \)

2. Add 8 to both sides:  
   \( 2x \geq 9 \)

3. Divide both sides by 2:  
   \( x \geq \frac{9}{2} \)  
   \( x \geq 4.5 \)

The solution for the inequality is \( x \geq 4.5 \).

If you'd like more help with the incomplete expression, please provide the missing part, and I'll be happy to assist further.

Would you like more details or explanations? Here are 5 related questions:

1. How do you handle more complex inequalities?
2. Can inequalities be solved the same way as equations?
3. What happens when you multiply or divide an inequality by a negative number?
4. How do you graph inequalities on a number line?
5. Can you have multiple solutions for inequalities?

**Tip:** Always flip the inequality sign when multiplying or dividing by a negative number.

5 6(3−𝑥)−1 2(𝑥−4)≥1 3(2𝑥−3)−

Learn how to solve the inequality 2(x-4) ≥ 1 step-by-step, including expansion, isolating x, and understanding inequality properties. This example covers essential algebra concepts and is suitable for Grades 8-10 students.

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