Question 6: 10 Marks Assume that the metric space M satisfies the following properties. (P1) For all d > 0, M is contained in the union of a finite number of open balls of radius 8. (P2) For every open cover (EQ)ael of M, there is some 8 >0 such that VIEM, Ja EI such that B(1,8) c Eq. Show clearly and concisely that M is compact, using the Heine-Borel property