Question

2-3(x-6)<27-(1+x)

Answer 1

2-3(x-6)<27-(1+x)

2-3x+18<27-1-x

-2x<7

x>-3.5

Ответ: (-3.5;+$\infty$)

Answer 2

2 - 3x + 18 < 27 - 1 - x;
- 6 < 2x;
- 3 < x;
(-3; бесконечность)

Answer 3

Let's simplify the given inequality step by step:

2-3(x-6) < 27-(1+x)

2-3x+18 < 27-1-x

Adding 3x to both sides:

2+18 < 27-1+2x

Simplifying:

20 < 26+2x

Subtracting 26 from both sides:

-6 < 2x

Dividing both sides by 2 (and remembering to flip the inequality sign because we are dividing by a negative number):

-3 < x

Therefore, the solution to the inequality is x > -3.