Final answer:
To solve the inequality 0x^2-4x+4<0 using a sign diagram, find the roots of the quadratic equation and plot them on a number line to determine the intervals where the expression is less than zero.
Step-by-step explanation:
To solve the inequality 0x^2-4x+4<0 using a sign diagram, we need to find the values of x that make the expression less than zero.
First, let's find the roots of the quadratic equation 0x^2-4x+4=0.
By factoring or using the quadratic formula, we find that the roots are x = 2 and x = 2.
Now, plot these values on a number line and test a value from each interval to determine whether the expression is positive or negative.
The solution is x ∈ (2, 2).