Determine X for the Inequality: f(x) = x² > 0

Question

Given the function:

y=x2 y=x^2

Determine for which values of x is f\left(x\right) > 0 true

Step-by-Step Solution

To solve this problem, let's follow our planned approach:

  • Consider the function y=x2 y = x^2 .
  • The quadratic function y=x2 y = x^2 is non-negative for all real numbers.
  • Specifically, y=x2=0 y = x^2 = 0 only at x=0 x = 0 . Therefore, y>0 y > 0 when x0 x \neq 0 .

Therefore, for f(x)=x2 f(x) = x^2 to be greater than zero, the condition is that x0 x \neq 0 .

Thus, the solution to the problem is x0 x \neq 0 .

Answer

x0 x\ne0