) Give an example of a relation R on a set A that is antisymmetric and suchthat for some, but not all, x in A.(b) Give an example of a relation S on the set such that S istransitive, antisymmetric, and irreflexive (that is, is false for all xin A)

S343 Section 2.3 Notes- Modeling with First Order Equations 8-30-16 Ex. A pipe is pouring liquid into a tank at gallons per minute. The tank is stirring and has an exit rate, through another pipe, of gallons per minute. Suppose the tank has a capacity of 100 gallons. The 1 liquid coming into the tank is water with lb per gallon, and the amount of in the tank at 4 time is in lbs. o Model this situation with a differential equation. = −