Question

3) 2(x - 1) - 3(x + 2) < 6(1 + x);​

Answer 1

Ответ:

x = -2

Пошаговое объяснение:

2(x - 1) - 3(x + 2) < 6(1 + x)

2х - 2 - 3х - 6 < 6 + 6x

-x - 6x < 6 + 8

-7x < 14

x = -14/7

x = -2

Answer 2

Ответ:

Пошаговое объяснение:

2(x - 1) - 3(x + 2) < 6(1 + x)

2х-2-3х-6<6+6х

-х-8<6+6х

-х-6х<6+8

-7х<14

х>-2

ответ (∞;-2 )

Answer 3

To solve the inequality $2(x - 1) - 3(x + 2) < 6(1 + x)$, follow these steps:

1. Distribute the constants on both sides of the inequality: $2x - 2 - 3x - 6 < 6 + 6x$

2. Combine like terms on each side of the inequality: $-x - 8 < 6 + 6x$

3. Move all the terms involving $x$ to one side by adding $x$ to both sides: $-8 < 7x + 6$

4. Subtract 6 from both sides: $-14 < 7x$

5. Finally, divide both sides by 7 to isolate x\: \(\frac{-14}{7} < x

Simplify: $-2 < x$

So, the solution to the inequality is $x > -2$.