Question

1) 2х+3<Х+1; 2)х-5>3-х; 3)2-х <3х-10; 4) 7х-1>х+5; 5) 5х+2>3+10; 6) 7х-4<х+14.​

Answer 1

в 6 у меня не вместилась бы "6x<18" я ее в сторону убрала а ты пиши в столб ее как на других

Answer 2

To solve these inequalities, we'll isolate the variable x in each one. Here are the solutions for each inequality:

1. 2x + 3 < x + 1: Subtract x from both sides: 2x - x + 3 < 1 x + 3 < 1 Subtract 3 from both sides: x < 1 - 3 x < -2

2. x - 5 > 3 - x: Add x to both sides: x + x - 5 > 3 2x - 5 > 3 Add 5 to both sides: 2x > 3 + 5 2x > 8 Divide by 2 (since it's a positive number): x > 4

3. 2 - x < 3x - 10: Add x to both sides: 2 - x + x < 3x - 10 + x 2 < 4x - 10 Add 10 to both sides: 2 + 10 < 4x 12 < 4x Divide by 4 (since it's a positive number): 12 / 4 < 4x / 4 3 < x

4. 7x - 1 > x + 5: Subtract x from both sides: 7x - x - 1 > 5 6x - 1 > 5 Add 1 to both sides: 6x - 1 + 1 > 5 + 1 6x > 6 Divide by 6 (since it's a positive number): 6x / 6 > 6 / 6 x > 1

5. 5x + 2 > 3 + 10: Subtract 3 from both sides: 5x + 2 - 3 > 10 5x - 1 > 10 Add 1 to both sides: 5x - 1 + 1 > 10 + 1 5x > 11 Divide by 5 (since it's a positive number): 5x / 5 > 11 / 5 x > 11/5

6. 7x - 4 < x + 14: Subtract x from both sides: 7x - x - 4 < 14 6x - 4 < 14 Add 4 to both sides: 6x - 4 + 4 < 14 + 4 6x < 18 Divide by 6 (since it's a positive number): 6x / 6 < 18 / 6 x < 3

So, the solutions for the inequalities are:

1. x < -2
2. x > 4
3. x > 3
4. x > 1
5. x > 11/5
6. x < 3