Question

Решите неравенство

Answer 1

                                            Решение:

функция x^4/5+1 принимает значения от 1 до плюса бесконечности и определена при всех х ольших или равных 0
в свою очередь функция (1-х)^5/4 принимает значение от 0 до бесконечности и опредлена при всех х<1.
найдем производные функций
4/5*x^(-1/5)+1 >0 при х>0 следовательно функция возрастает
аналогично
-5/4*(1-x)^1/4<0 функция убывает.
при х=0 значения функций равны, следовательно решением является интервал
(0;1].

Answer 2

Solving the Inequality

To solve the given inequality, we'll start by examining the provided inequality and then proceed with the solution.

The given inequality is: -13/((x-4)^2-6) >= 0

To solve this inequality, we can follow these steps:

1. Find the critical points by setting the numerator and denominator equal to zero. 2. Determine the intervals where the inequality is satisfied. 3. Express the solution in interval notation.

Let's proceed with solving the inequality step by step.

Step 1: Finding Critical Points

The critical points for the given inequality can be found by setting the numerator and denominator equal to zero.

The critical points are: - Numerator: There are no critical points for the numerator. - Denominator: The critical points for the denominator can be found by solving the equation ((x-4)^2-6) = 0.

Step 2: Determining Intervals

After finding the critical points, we can determine the intervals where the inequality is satisfied by testing the sign of the inequality in each interval.

Step 3: Expressing the Solution

Finally, we will express the solution in interval notation.

Let's proceed with solving the inequality using the steps outlined above.