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.
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.