Question

A is set of factors of 72 and relation R is divisibility on set A. i.e. R={(x,y)|x,y EA, X divides y}. Show that POSET (A.S) is a lattice. Draw its Hasse diagram.
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Answer 1

Answer:

set of factors of 72 and relation R is divisibility on set A. i.e. R={(x,y)|x,y EA, X divides y}. Show that POSET (A.S) is a lattice. Draw its Hasse diagram.

Answer 2

Answer:

ᴀɴꜱ-5= ᴊʏᴏᴛɪʙᴀ ᴘʜᴜʟᴇ ꜰᴏᴜɴᴅᴇᴅ ᴛʜᴇ ꜱᴀᴛʏᴀꜱʜ -

1. ᴅʜᴀᴋ ꜱᴀᴍᴀᴊ ɪɴ ᴍᴀʜᴀʀᴀꜱʜᴛʀᴀ ꜱᴛᴀʀᴛᴇᴅ ᴀ ꜱᴄʜᴏᴏʟ ꜰᴏʀ ᴅᴀʟɪᴛꜱ .

2. ʜᴇ ᴡᴀꜱ ᴀ ꜱᴛᴀᴜɴᴄʜ ꜱᴜᴘᴘᴏʀᴛᴇʀ ᴏꜰ ᴡɪɴᴅᴏᴡ ʀᴇᴍᴀʀʀɪᴀɢᴇ ᴀɴᴅ ʜɪᴍꜱᴇʟꜰ ꜱᴇᴛ ᴀɴ ᴇxᴀᴍᴘʟᴇ ɪɴ ʜɪꜱ ꜰɪᴇʟᴅ

ᴀɴꜱ-6 = ᴍʀꜱ. ᴀɴɴɪᴇ ʙᴇꜱᴀɴᴛ ᴡᴏʀᴋᴇᴅ ꜰᴏʀ ᴛʜᴇ ᴛʜᴇᴏꜱᴏᴘʜɪᴄᴀʟ ꜱᴏᴄɪᴇᴛʏ.ꜱɪɴᴄᴇ 1893, ꜱʜᴇ ᴡᴀꜱ ᴀᴘᴘᴏɪɴᴛᴇᴅ ᴘʀᴇꜱɪᴅᴇɴᴛ ᴏꜰ ᴛᴊᴇ ꜱᴏᴄɪᴇᴛʏ

1. ꜱʜᴇ ᴍᴀᴅᴇ ɢʀᴇᴀᴛ ᴇꜰꜰᴏʀᴛꜱ ᴛᴏᴡᴀʀᴅꜱ ᴡᴏᴍᴇɴ ᴇᴅᴜᴄᴀᴛɪᴏɴ,ɪᴍᴘʀᴏᴠᴇᴍᴇɴᴛ ɪɴ ᴛʜᴇ ꜱᴛᴀᴛᴜꜱ ᴏꜰ ᴡɪᴅᴏᴡꜱ,ᴏᴘᴘᴏꜱᴇᴅ ᴄʜɪʟᴅ ᴍᴀʀʀɪᴀɢᴇ ᴀɴᴅ ᴄᴀꜱᴛᴇ ꜱʏꜱᴛᴇᴍ.

2. ᴛʜᴇ ꜱᴏᴄɪᴇᴛʏ ᴘᴜʙʟɪꜱʜᴇᴅ ᴍᴀɴʏ ʙᴏᴏᴋꜱ ᴏɴ ʜɪɴᴅᴜ ʀᴇʟɪɢɪᴏᴜꜱ ꜱʏꜱᴛᴇᴍꜱ ᴀɴᴅ ʙʀᴏᴜɢʜᴛ ᴀʙᴏᴜᴛ ᴀʟꜱᴏ ɪɴᴛᴇʟʟᴇᴄᴛᴜᴀʟ ᴀᴡᴀʀᴇɴᴇꜱꜱ.