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The solution to the inequality \( 8x - \frac{3}{2} \geq -\left(3x + \frac{1}{2}\right) + 5 \) is \( x \geq 0.545 \) (or approximately \( x \geq \frac{6}{11} \)).

Would you like more details on the steps used to solve this, or do you have any questions?

Here are 5 related questions to deepen your understanding:
1. How do you solve inequalities that involve fractions?
2. What happens when you multiply or divide an inequality by a negative number?
3. How can you verify the solution to an inequality?
4. What are some strategies to solve multi-step inequalities?
5. How would the solution change if it were a strict inequality (\(<\) instead of \(\geq\))?

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

Solve the inequality 8x - 3/2 ≥ -(3x + 1/2) + 5

Learn how to solve the inequality 8x - 3/2 ≥ -(3x + 1/2) + 5 step-by-step. This problem involves algebraic concepts, including inequalities and fractions, and is suitable for students in Grades 9-11.

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