Please check my work on Solve the inequality: 4x^2-4x+1 >

[trip20]

Could someone please check my work, I want to make sure I am on the right track.

Solve the inequality: 4x^2-4x+1 >= 0

Using the quadradic formula I ended up with 4/8 or 1/2.

Is that correct?

 

[skeeter]

4x² - 4x + 1 > 0

(2x - 1)² > 0

the inequality is true for all x ... because (anything)² > 0

 

[trip20]

Thanks skeeter,

perhaps i should have written the full set of instructions:

Solve the inequality 4x^2-4x+1>=0 Graph the solution set on a real number line. Express each solution in interval notation.

I used the quadradic formula and got 1/2 or [1/2, infinity)