Question

2 ⋅(3x − 5) > 2x +10

Answer 1

Пошаговое объяснение:

2(3х-5)>2х+10

6х-10>2х+10

6х-2х>10+10

4х>20

Х>5

Х€(5;+бесконечности)

Ответ : х€(5;+бесконечности)

Answer 2

To solve the inequality $2(3x - 5) > 2x + 10$, you can follow these steps:

1. Distribute the 2 on the left side of the inequality:

   $6x - 10 > 2x + 10$

2. Move all the terms involving x to one side of the inequality by subtracting 2x from both sides:

   $6x - 2x - 10 > 10$

3. Combine like terms:

   $4x - 10 > 10$

4. Add 10 to both sides to isolate the $4x$ term:

   $4x - 10 + 10 > 10 + 10$

   $4x > 20$

5. Finally, divide both sides by 4 to solve for x:

   $\frac{4x}{4} > \frac{20}{4}$

   $x > 5$

So, the solution to the inequality is $x > 5$.