Find overlapping rectangles

BlankI am trying to find a more elegant method of determining overlapping rectangles.
I save Starting X, Ending X, Starting Y and Ending Y for each rectangle (1st is HORZ_, 2nd is NEXT_)
All I can think of so far seems to be cumbersome and doesn't work

(if (or
(and (< HORZ_START NEXT_START HORZ_END) (< HORZ_BOT NEXT_BOT HORZ_TOP))
(and (< HORZ_START NEXT_START HORZ_END) (< NEXT_BOT HORZ_BOT NEXT_TOP))
(and (< NEXT_START HORZ_START NEXT_END) (< HORZ_BOT NEXT_BOT HORZ_TOP))
(and (< NEXT_START HORZ_START NEXT_END) (< NEXT_BOT HORZ_BOT NEXT_TOP))
)
(princ "\nOverlapping")
(princ "\nOkay")
)

I need to know if the rectangles overlap or if 1 is totally inside the other.
Rectangles that touch are okay.

Any ideas or help is greatly appreciated....
Alan

 

Alan,

Can you post some images about this?