Does your teacher allow you to write without capitalizing any proper
nouns or even the first words of sentences?  Does he or she allow you
to fail to use commas between words in a series, and periods at the end
of sentences, and a question mark at the end of a question? 

Here is how you should write that:

Which set has more elements, the set of possible numbers of elements that
a set with fewer than 11 coins but more than 5 coins could have, or the set
of possible numbers of elements that a set with more than 6 coins but fewer
than 10 coins could have?  Draw the sets to prove your answer?

For a set to have fewer than 11 coins, it can have at most 10 coins.
For a set to have more than 5 coins, it must have at least 6 coins.
Therefore the number of coins it could have is a member of this set:
{6,7,8,9,10}

For a set to have more than 6 coins, it must have at least 7 coins.
For a set to have fewer than 10 coins, it can have at most 9 coins.
Therefore the number of coins it could have is a member of this set:
{7,8,9}

The set {6,7,8,9,10} has more elements than the set {7,8,9}

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Here is how you should write that:

Alma is planning a vegetable garden for the spring.  She will plant radishes on
May 15, cucumbers on May 21, tomatoes on May 30, and peas on May 12.  In what
order will Alma plant the vegetables?

On May 12 she will plant peas.
On May 15 she will plant radishes.
On May 21 she will plant cucumbers.
On May 30 she will plant tomatoes.

Edwin