Question

Решите неравенство: 1) 3x — 7 < x+1; 3) 1- x < 2x - 5; ​

Answer 1

Ответ:

1)х<4

3)х>2

я немного не понял где второе неравенство.

Answer 2

1. 3x - 7 < x + 1

To solve this inequality, we'll isolate the variable x on one side of the inequality sign:

3x - 7 < x + 1

Subtract x from both sides:

2x - 7 < 1

Add 7 to both sides:

2x < 8

Divide both sides by 2:

x < 4

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

3. 1 - x < 2x - 5

To solve this inequality, we'll isolate the variable x on one side of the inequality sign:

1 - x < 2x - 5

Add x to both sides:

1 < 3x - 5

Add 5 to both sides:

6 < 3x

Divide both sides by 3:

2 < x

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

In interval notation, the solutions are:

1. (-∞, 4)
2. (2, +∞)