To solve for x, we first want to isolate the x^2 term:
4x^2 + 1 > 0 4x^2 > -1
Now, divide both sides of the inequality by 4:
x^2 > -1/4
Since a square of a real number is always nonnegative, the inequality x^2 > -1/4 holds true for all real numbers x. This means that the original inequality 4x^2 + 1 > 0 is also true for all real numbers x.
To solve for x, we first want to isolate the x^2 term:
4x^2 + 1 > 0
4x^2 > -1
Now, divide both sides of the inequality by 4:
x^2 > -1/4
Since a square of a real number is always nonnegative, the inequality x^2 > -1/4 holds true for all real numbers x. This means that the original inequality 4x^2 + 1 > 0 is also true for all real numbers x.