0,2x(x-1)-x(0,2x+0,5)<0,6x-4

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вопрос

Let's simplify the inequality step by step:

Distribute the 0.2x and -x to the terms inside the parentheses on the left side:
0.2x(x-1) - x(0.2x + 0.5) < 0.6x - 4

Simplify each side of the inequality:
0.2x^2 - 0.2x - 0.2x^2 - 0.5x < 0.6x - 4
-0.7x < 0.6x - 4

Combine like terms on the left side:
-0.7x < 0.6x - 4.

Add 0.7x to both sides to isolate x:
0 < 1.3x - 4.

Add 4 to both sides to further isolate x:
4 < 1.3x.

Divide both sides by 1.3:
x > 3.07

Therefore, the solution to the inequality is x > 3.07.