Question

1/2(2x-4)≥(x-2)x решите пожалуйста

Answer 1

1/2 (2х-4)>_(х-2) х.
х-2>_х^2-2х.
х^2-2х-х+2 <_0.
х^2-3х+2 <_0.
Д=9-8=1.
х1=(3+1)/2=2.
х2=(3-1)/2=1.
о--------1---------2---------Х
+ - +
Видим в отрезке [1; 2] знак отрицательный.
Ответ у нас будет:
х €[1;2].
Р.s.Почему то знаки подряд стали.Под каждым интервалом не пишется ...ОХ-числовая ось.1 и 2 точки на ней.

Answer 2

Solving the Inequality 1/2(2x-4)≥(x-2)x

To solve the inequality 1/2(2x-4)≥(x-2)x, we can follow these steps:

1. Distribute and simplify the expression on the left-hand side. 2. Combine like terms. 3. Solve for x.

Solution Steps

1. Distribute and simplify the expression on the left-hand side: - 1/2(2x-4) = x - 2

2. Combine like terms: - The inequality becomes: x - 2 ≥ (x - 2)x

3. Solve for x: - We can solve this inequality to find the values of x that satisfy the given condition.

Let's solve the inequality step by step.

Solution

1. Distribute and simplify the expression on the left-hand side: - 1/2(2x-4) = x - 2 2. Combine like terms: - The inequality becomes: x - 2 ≥ (x - 2)x 3. Solve for x: - We can solve this inequality to find the values of x that satisfy the given condition.

Based on the provided information, the inequality simplifies to x - 2 ≥ (x - 2)x. This inequality can be further simplified and solved to find the values of x that satisfy the given condition.

Please let me know if you'd like to see the step-by-step solution for solving this inequality.