Question

What is difference between set builder and roster forms​

Answer 1

♕︎Qᴜᴇsᴛɪᴏɴ♕︎

ᴡʜᴀᴛ ɪs ᴅɪғғᴇʀᴇɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ sᴇᴛ ʙᴜɪʟᴅᴇʀ ᴀɴᴅ ʀᴏsᴛᴇʀ ғᴏʀᴍs?

♕︎Aɴsᴡᴇʀ♕︎

★ sᴇᴛ ʙᴜɪʟᴅɪɴɢ ғᴏʀᴍ :-

• A = { x : x ɪs ᴀɴ ᴇᴠᴇɴ ɴᴜᴍʙᴇʀ ʟᴇss ᴛʜᴀɴ 15}
• ᴀ ғᴏʀᴍᴜʟᴀ, ᴀ ʀᴜʟᴇ ᴏʀ ᴀ sᴛᴀᴛᴇᴍᴇɴᴛ ɪs ᴡʀɪᴛᴛᴇɴ ɪɴ ᴛʜᴇ ʙʀɪᴇғᴇsᴛ ᴡᴀʏ ᴘᴏssɪʙʟᴇ.
• ᴛʜᴇ ᴀᴄᴛᴜᴀʟ ᴇʟᴇᴍᴇɴᴛs ᴀʀᴇ ɴᴏᴛ sʜᴏᴡɴ.
• sᴜɪᴛᴀʙʟᴇ ғᴏʀ ᴀ sᴇᴛ ᴡɪᴛʜ ᴀɴʏ ɴᴜᴍʙᴇʀ ᴏғ ᴇʟᴇᴍᴇɴᴛs.

★ ʀᴏsᴛᴇʀ ғᴏʀᴍ :-

• A = { 2, 4, 6, 8, 10, 12, 14}
• ᴇʟᴇᴍᴇɴᴛs ᴀʀᴇ ʟɪsᴛᴇᴅ sᴇᴘᴇʀᴀᴛᴇᴅ ʙʏ ᴄᴏᴍᴍᴀs.
• ᴀʟʟ ᴛʜᴇ ᴇʟᴇᴍᴇɴᴛs ᴀʀᴇ sʜᴏᴡɴ ɪɴ ᴛʜᴇ sᴇᴛ.
• sᴜɪᴛᴀʙʟᴇ ғᴏʀ ᴀ sᴇᴛ ᴡɪᴛʜ ᴀ sᴍᴀʟʟ ɴᴜᴍʙᴇʀ ᴏғ ᴇʟᴇᴍᴇɴᴛs.

♕︎ Aᴅᴅɪᴛɪᴏɴᴀʟ Iɴғᴏʀᴍᴀᴛɪᴏɴ♕︎

• sᴇᴛs ᴄᴀɴ ʙᴇ ʀᴇᴘʀᴇsᴇɴᴛᴇᴅ ᴇɪᴛʜᴇʀ ɪɴ ʀᴏsᴛᴇʀ ғᴏʀᴍ ᴏʀ ɪɴ sᴇᴛ-ʙᴜɪʟᴅᴇʀ ғᴏʀᴍ.
• ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴇʟᴇᴍᴇɴᴛs ᴏғ ᴀ sᴇᴛ ɪs ᴄᴀʟʟᴇᴅ ɪᴛs ᴄᴀʀᴅɪɴᴀʟ ɴᴜᴍʙᴇʀ.
• ᴄᴀʀᴅɪɴᴀʟ ɴᴜᴍʙᴇʀ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ "A".
• ᴛʜᴇ sᴇᴛ ᴡʜɪᴄʜ ᴄᴏɴᴛᴀɪɴs ᴀʟʟ ᴛʜᴇ sᴇᴛs ᴜɴᴅᴇʀ ᴄᴏɴsɪᴅᴇʀᴀᴛɪᴏɴ ᴀs ɪᴛs sᴜʙsᴇᴛs ɪs ᴄᴀʟʟᴇᴅ ᴜɴɪᴠᴇʀsᴀʟ sᴇᴛ.
• ᴜɴɪᴠᴇʀsᴀʟ sᴇᴛ ɪs ᴅᴇɴᴏᴛᴇᴅ ʙʏ "D".
• ᴛʜᴇ ᴜɴɪᴏɴ ᴏғ ᴛᴡᴏ sᴇᴛs ᴄᴏɴᴛᴀɪɴs ᴀʟʟ ᴇʟᴇᴍᴇɴᴛs ғʀᴏᴍ ʙᴏᴛʜ ᴛʜᴇ sᴇᴛs.
• ᴛʜᴇ ɪɴᴛᴇʀsᴇᴄᴛɪᴏɴ ᴏғ ᴛᴡᴏ sᴇᴛs ᴄᴏɴᴛᴀɪɴs ᴇʟᴇᴍᴇɴᴛs ᴡʜɪᴄʜ ᴀʀᴇ ᴘʀᴇsᴇɴᴛ ɪɴ ʙᴏᴛʜ sᴇᴛs.
• ᴛʜᴇ ᴄᴏᴍᴘʟᴇᴍᴇɴᴛ ᴏғ ᴀ sᴇᴛ ᴅᴏᴇs ɴᴏᴛ ᴄᴏɴᴛᴀɪɴ ᴛʜᴇ ᴇʟᴇᴍᴇɴᴛs ᴏғ ᴛʜᴇ sᴇᴛ.
• ғᴀᴄᴛ ➪ ᴛʜᴇ ᴏɴʟɪɴᴇ sʜᴏᴘᴘɪɴɢ ʀᴇᴄᴄᴏᴍᴇɴᴅᴀᴛɪᴏɴs ᴏɴ ᴀᴍᴀᴢᴏɴ ɪs ᴀɴ ᴀᴘᴘʟɪᴄᴀᴛɪᴏɴ ᴏғ ғᴜᴢᴢʏ sᴇᴛ ᴛʜᴇᴏʀʏ ᴡʜɪᴄʜ ɪs ᴀɴ ᴇxᴛᴇɴsɪᴏɴ ᴏғ ᴄʟᴀssɪᴄᴀʟ sᴇᴛ ᴛʜᴇᴏʀʏ.

Answer 2

Answer:

A roster can contain any number of elements from no elements to an infinite number.... Set-builder notation is a list of all of the elements in a set, separated by commas, and surrounded by French curly braces.