please check my answer(one with star). The solubility of borax is directly proportional to temperature. Therefore, the sign of H is

A. negative*
B. positive
C. unknown with the given information

since solubility shifts the reaction to the right, therefore it is exothermic so H has to be negative. Am i right?

2 answers

If I write the equation this way, I see
borax(solid) + heat + water ==> borax(solution)(aq) which says that as we add heat to the left side more borax dissolves (and that agrees with the statement in the problem). Does that make it exothermic?
(Your statement that "solubility shifts the reaction to the right" should read, I think, to "heat shifts th reaction to the right". It isn't the solubility that is shifting anything; it's the added heat that is making it more soluble.
since heat is added, so does that mean H is positive(endothermic)