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Resuelve la siguiente desigualdad y grafica:


The graph of the quadratic inequality \(x^2 - 7x + 12 \leq 0\) shows that the expression is non-positive between the points \(x = 3\) and \(x = 4\). Thus, the solution to the inequality is:

\[
3 \leq x \leq 4
\]

This means that the values of \(x\) that satisfy the inequality lie in the closed interval \([3, 4]\).

Do you want further details or have any questions?

### Related Questions:
1. How do you derive the quadratic formula?
2. What is the geometric meaning of solving inequalities on a graph?
3. Can quadratic inequalities have no solution?
4. How do you test points to determine intervals for inequality solutions?
5. What does the solution \(3 \leq x \leq 4\) mean in real-world contexts?

### Tip:
Always remember to test values in different intervals to ensure correct solutions for inequalities.

Resuelve la siguiente desigualdad y grafica: x^2 + 12 ≤ 7x

Learn how to solve the quadratic inequality x^2 - 7x + 12 ≤ 0, with a detailed explanation on factoring and interval analysis. Find the solution set [3, 4] and understand how it relates to the quadratic graph. Suitable for students in Grades 8-10.

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