For questions 4 - 6, USE the following relations : on the Set . A = (2 , 6 , 6 , 9 , 1 , x} lt; = [ (a, a ), (2 , 6 ) , ( a , x ) , ( 2 , 9), 1 6 ,

Discrete Mathematics: Thanks for the help in advance!

For questions 4 - 6, USE the following relations : on the Set .A = (2 , 6 , 6 , 9 , 1 , x}< = [ (a, a ), (2 , 6 ) , ( a , x ) , ( 2 , 9), 1 6 , 6 ) , 1 6 , x ) . ( b , a ) , ( F , F ) . ( f , b ) . ( F , * ) , ( 4 , 9) , 1 9, 9), ( 1 , 1 ) , ( + , F), ( 1 , 2 ) , ( 1 , 6 ) . ( * , * ) , ( 1 , 9) , ( x , x ) `4 . Verify that ( A , < ) represents a poset .5 . Find HIA) :6. 15 / A , R ) a Lattice ? Justify your answer .