Question

Как правильно записать ответ в неравенстве5x² > x

Answer 1

Ответ(0;бесконечность)

Answer 2

Writing the Inequality 5x² > x

To correctly write the inequality 5x² > x, you can follow these steps:

1. Set the Inequality to Zero: - Start by setting the inequality to zero: 5x² - x > 0.

2. Factor the Inequality: - Factor out the common term, which in this case is x: x(5x - 1) > 0.

3. Find the Critical Points: - Set each factor equal to zero and solve for x to find the critical points: - x = 0 and 5x - 1 = 0, which gives x = 0 and x = 1/5.

4. Create a Sign Chart: - Use the critical points to create a sign chart to determine the intervals where the inequality is true.

5. Determine the Solution: - Based on the sign chart, determine the intervals where the inequality 5x² > x is true.

Would you like a more detailed explanation of any of these steps?