First, let's simplify the left side of the inequality:
0.2x(x-1) - x(0.2x + 0.5)= 0.2x^2 - 0.2x - 0.2x^2 - 0.5x= -0.7x
Now, let's simplify the right side of the inequality:
0.6 - 4= -3.4
So the inequality becomes:
-0.7x < -3.4
To solve for x, divide both sides of the inequality by -0.7 (and remember to reverse the inequality sign when dividing by a negative number):
x > 4.857
Therefore, the solution to the inequality is x > 4.857.
First, let's simplify the left side of the inequality:
0.2x(x-1) - x(0.2x + 0.5)
= 0.2x^2 - 0.2x - 0.2x^2 - 0.5x
= -0.7x
Now, let's simplify the right side of the inequality:
0.6 - 4
= -3.4
So the inequality becomes:
-0.7x < -3.4
To solve for x, divide both sides of the inequality by -0.7 (and remember to reverse the inequality sign when dividing by a negative number):
x > 4.857
Therefore, the solution to the inequality is x > 4.857.