I cant see a god ordained thing!
In this case the right option is the first one, <em>Neither of the children had the inclination to clean their rooms</em>. The word <em>inclination</em> is derived as stated from the Latin <em>clinare </em>and it is formed by putting together in+clinare, "lean toward [in/into]". The opposite would be "decline", formed by joining de+clinare.
In his letter to President Eisenhower dated back to May 13, 1958, Jackie Robinson addressed the issue regarding black civil rights. He expressed his frustrations on Eisenhower's lack of support for upholding black civil rights at that time and he moved to fight for Federal support on these rights.