Let's simplify the expression step by step:
2x(x - 4) - (2x + 5)(x - 10) < 2(3.5x + 50)
First, we need to distribute the terms inside the parentheses:
2x^2 - 8x - (2x^2 - 20x + 5x - 50) < 7x + 100
Next, we need to simplify the expression by combining like terms:
2x^2 - 8x - 2x^2 + 20x - 5x + 50 < 7x + 100
The like terms cancel out:
7x + 50 < 7x + 100
We can eliminate the 7x terms by subtracting 7x from each side:
50 < 100
The inequality is true regardless of the value of x. Therefore, the solution to this inequality is all real numbers.
