Question

2х-5<9-6(х-3) решите неравенство

Answer 1

2х-5<9-6х+18
2х+6х<9+18+5
8х<32
х<4

Answer 2

2x-5 <9-6 (x-3)
2x+6x <9+18+5
8x <32
x <4

Answer 3

To solve the inequality, follow these steps:

1. Distribute the -6 on the right side: 2x - 5 < 9 - 6(x - 3) 2x - 5 < 9 - 6x + 18

2. Combine like terms on the right side: 2x - 5 < 27 - 6x

3. Add 6x to both sides to get x terms on one side: 2x + 6x - 5 < 27

4. Combine like terms on the left side: 8x - 5 < 27

5. Add 5 to both sides to isolate the x term: 8x < 32

6. Finally, divide both sides by 8 to solve for x: x < 32/8 x < 4

So, the solution to the inequality is x < 4.