Question

2(х-3)-1>3(х-2)-4(х-1)

Answer 1

Ответ:

Объяснение: 2х-6-3х+6+4х-4-1>0

3х>5 х>1$\frac{2}{3}$

Answer 2

To solve the inequality 2(x - 3) - 1 > 3(x - 2) - 4(x - 1), follow these steps:

1. Distribute the constants inside the parentheses: 2x - 6 - 1 > 3x - 6 - 4x + 4

2. Combine like terms on both sides of the inequality: 2x - 7 > -x + 4

3. Add x to both sides to isolate the x terms on the left side: 2x + x - 7 > 4

4. Combine the x terms: 3x - 7 > 4

5. Add 7 to both sides to isolate the constant term on the left side: 3x - 7 + 7 > 4 + 7

6. Simplify the constants on the left side: 3x > 11

7. Finally, divide both sides by 3 to solve for x: (3x) / 3 > 11 / 3

8. Simplify: x > 11/3

So, the solution to the inequality is:

x > 11/3