How do i go about solving this? |2x−1| > √(1−x^2)
I have tried spiting to 2x−1 > √(1−x^2) and 2x−1 < -√(1−x^2) and solving for x, but the second part does not work out, or at least i cant figure it out
I have tried spiting to 2x−1 > √(1−x^2) and 2x−1 < -√(1−x^2) and solving for x, but the second part does not work out, or at least i cant figure it out
1 Answer
Explanation:
and
For the first inequality, let's first solve the equation:
Square both sides:
move everything to one side:
So
Since the inequality is only valid on
So consider the intervals
So far our solution set is
Now let's look at the second inequality.
First we'll solve the equality for the intersection points:
square both sides:
moving everything to one side:
so the intersections are
Since this inequality is only valid on
So consider the intervals
Overall the solution set is