Question

Решите неравенство: 1) 3х - 7 2) 2 + x> 8 - x; 4) 2x +1>x+ 6; 5) 4х + 2 > 3х + 1: 6) 6х+1< 2х + 9.

Answer 1

вот так выглядит решение задачи

Answer 2

1. 3x - 7 > 0

To solve this inequality, we need to isolate the variable x. Adding 7 to both sides of the inequality, we have:

3x - 7 + 7 > 0 + 7 3x > 7

Dividing both sides of the inequality by 3 (since the coefficient of x is 3), we get:

x > 7/3

Therefore, the solution to the inequality is x > 7/3.

2. 2 + x > 8 - x

To solve this inequality, we can simplify it by combining like terms:

x + x > 8 - 2 2x > 6

Dividing both sides of the inequality by 2, we get:

x > 3

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

4. 2x + 1 > x + 6

Subtracting x from both sides of the inequality, we have:

2x - x + 1 > 6 x + 1 > 6

Subtracting 1 from both sides of the inequality, we get:

x > 5

Therefore, the solution to the inequality is x > 5.

5. 4x + 2 > 3x + 1

Subtracting 3x from both sides of the inequality, we have:

4x - 3x + 2 > 1 x + 2 > 1

Subtracting 2 from both sides of the inequality, we get:

x > -1

Therefore, the solution to the inequality is x > -1.

6. 6x + 1 < 2x + 9

Subtracting 2x from both sides of the inequality, we have:

6x - 2x + 1 < 9 4x + 1 < 9

Subtracting 1 from both sides of the inequality, we get:

4x < 8

Dividing both sides of the inequality by 4, we get:

x < 2

Therefore, the solution to the inequality is x < 2.