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📘 Absolute Value Rational Inequalities | Step-by-Step Solutions

In this lesson, we solve two absolute value rational inequalities involving fractions. You’ll learn how to break absolute value inequalities into separate cases and solve them correctly using algebra and number line analysis.

🔹 Problem 1:
Solve
\left| \frac{x - 2}{x + 3} \right| \ge 4
🔹 Problem 2:
Solve
\left| \frac{x - 2}{x + 3} \right| \le 4
📌 Key concepts covered:

Absolute value inequalities
Rational expressions and restrictions
“Greater than or equal to” vs “less than or equal to” cases
Solving inequalities step by step
Interval notation and solution sets

🎯 Perfect for high school and college students studying algebra, precalculus, or preparing for exams.

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