$.$ Below is a sketch of a simple instance space with six instances shown. Consider three potential

hypotheses over that instance space, ha$,$ hb$,$ hc$.$ A sketch for hypothesis hc is provided. What

is hc $($xi$)$ for all six xi$?$ Given the information below, sketch a potential hypothesis over the

instance space for ha and hb$.$ With respect to the six instance points given, how do these three

hypotheses relate to one another in terms of generality? Suggest a new hypothesis that is strictly

more general than all three of these.

ha $($x$1)=$ ha $($x$2)=$ ha $($x$4)=$ ha $($x$5)=1$

ha $($x$3)=$ ha $($x$6)=0$

hb $($x$4)=$ hb $($x$5)=1$

hb $($x$1)=$ hb $($x$2)=$ hb $($x$3)=$ hb $($x$6)=0$