I need help with this answer

Question

3(x²–x+1)–0.5x(4x–6) is a positive number.

Answer 1

3x^2 - 3x + 3 - 2x^2 + 3x>0 <-- distributes 3 and - 0.5 = -1/2

x^2 + 3 > 0

x^2 > -3

This is always a true statement for any real number x, since x^2 is always positive or at least zero.