Java check if two rectangles overlap at any point

Question

I have multiple rectangles and one special rectangle: the selection rect. I want to check for each rectangle if the rectangle contains at least one point which is inside the selection rectangle. Here is an image for clarity:

Answer 1

This will find if the rectangle is overlapping another rectangle:

public boolean overlaps (Rectangle r) {
    return x < r.x + r.width && x + width > r.x && y < r.y + r.height && y + height > r.y;
}