Question

-х + 3(-7 + 5х) ≥ 7х + 7

Answer 1

Ответ:

x ≥ 4

Пошаговое объяснение:

-x-21+15x ≥ 7x+7

14x-21 ≥ 7x+7

7x ≥ 28

x ≥ 4

Answer 2

Ответ:

-x - 21 +15x ≥ 7x +7

-x +15x -7x ≥7 +21

7x ≥ 28

x ≥ 28 : 7

x ≥ 4

x ∈ [4; +∞)

Пошаговое объяснение:

Answer 3

To solve this inequality, we'll need to simplify and isolate the variable x. Here are the steps to do that:

1. Distribute the 3 on the left side of the inequality:

   -x + 3(-7 + 5x) ≥ 7x + 7 becomes -x - 21 + 15x ≥ 7x + 7.

2. Combine like terms on each side of the inequality:

   -x + 15x - 21 ≥ 7x + 7.

3. Next, subtract 7x from both sides of the inequality to isolate the x terms on one side:

   -x + 15x - 21 - 7x ≥ 7.

   Simplify further:

   -x + 8x - 21 ≥ 7.

4. Combine like terms again:

   7x - 21 ≥ 7.

5. Add 21 to both sides to isolate the 7x term:

   7x - 21 + 21 ≥ 7 + 21.

   Simplify:

   7x ≥ 28.

6. Finally, divide both sides by 7 to solve for x:

   (7x)/7 ≥ 28/7.

   Simplify:

   x ≥ 4.

So, the solution to the inequality is:

x ≥ 4.