Question

If the number of set X is 64 such that $A\subset X\subset B$ for two sets $A=\{x|x=2^k,\;k=0,\;1,\;2,\;...,\; l\}$, $B=\{x|x\; \sf{is\;an\;integer\;such\;that}\;x^2-8x\leq 0\}$, find the value of the natural number $l$.

$\sf{This\;is\;a\;question\;from\;school\;which\;I\;don't\;know\;the\;answer\;of.}$
$\sf{Please\;solve\;the\;problem\;with\;correct\;methods.}$

Answer 1

Step-by-step explanation:

the number of set X is 64 such that $A\subset X\subset B$ for two sets $A=\{x|x=2^k,\;k=0,\;1,\;2,\;...,\; l\}$, $B=\{x|x\; \sf{is\;an\;integer\;such\;that}\;x^2-8x\leq 0\}$, find the value of the natural number $l$.

Answer 2

Answer:

A subset is a set whose elements are all members of another set. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

So typical problem !