Question

25x^2>9дайте решение неровности

Answer 1

Ответ:

x є (-нескінченість, -3/5) U (3/5, +нескінченість)

Answer 2

Solving the Inequality 25x^2 > 9

To solve the inequality 25x^2 > 9, we can follow these steps:

1. Isolate the Variable - First, we need to isolate the variable x on one side of the inequality.

2. Take the Square Root - Then, we'll take the square root of both sides of the inequality.

3. Consider the Sign - Finally, we'll consider the sign of the solutions to determine the final solution set.

Let's go through each step in detail.

Step 1: Isolate the Variable

To isolate the variable x, we'll divide both sides of the inequality by 25: ``` 25x^2 > 9 x^2 > 9/25 ```

Step 2: Take the Square Root

Next, we'll take the square root of both sides of the inequality. When taking the square root of both sides of an inequality, we need to consider both the positive and negative square roots: ``` x > ±√(9/25) ``` Simplifying the square root of 9/25: ``` x > ±3/5 ```

Step 3: Consider the Sign

Considering the sign, we have two inequalities: ``` x > 3/5 and x < -3/5 ```

So, the solution to the inequality 25x^2 > 9 is: ``` x > 3/5 or x < -3/5 ```

This means that x can take any value greater than 3/5 or any value less than -3/5 to satisfy the given inequality.

(#1)