Question

7+2(3-x)>3x+2 решите неравенство

Answer 1

7 + 2(3 - x) > 3x + 2

7 + 6 - 2x > 3x + 2

2x - 3x > 2 - 13

- x > - 11

x < 11

Ответ : x ∈ (- ∞ ; 11)

Answer 2

To solve the inequality, we need to find the value(s) of "x" that satisfy the inequality. Follow these steps:

1. Distribute the 2 on the left side: 7 + 2 * 3 - 2 * x > 3x + 2

2. Simplify the expression: 7 + 6 - 2x > 3x + 2

3. Combine like terms on both sides: 13 - 2x > 3x + 2

4. Move variables to one side and constants to the other side. To do this, let's subtract 3x from both sides and add 2 to both sides to isolate "x" on one side: 13 - 2x - 3x > 2

5. Combine the "x" terms: 13 - 5x > 2

6. Now, subtract 13 from both sides: -5x > 2 - 13 -5x > -11

7. To solve for "x," we need to flip the inequality sign when dividing by a negative number, so divide both sides by -5: x < -11 / -5 x < 11/5 x < 2.2

Therefore, the solution to the inequality is: x < 2.2