Answer:
To solve the inequality x(x² - 3x + 4)/(x + 2) ≥ 0, we can follow these steps:
1. Find the critical points by setting the numerator and denominator equal to zero.
2. Plot these critical points on a number line.
3. Test the intervals between the critical points by picking a test point in each interval and plugging it into the inequality.
4. Determine the intervals where the inequality is true.
5. Write the solution using interval notation.
I hope this helps! Let me know if you have any more questions.