Let
and
. Then


and


The expression under the square root can be rewritten as

Recall that

so that

and assuming
and
, we end up with

so that

as required.
Answer:
There's not enough information to determine the answer... is there more to this?
Answer: 
Step-by-step explanation:
Let w denotes a seven letter word which Sal will need to make to break the record.
Since you get 50 points for each seven-letter and 100 points for playing the game.
Then the total points earned by you by making w seven letters words will be:

Since, Sal wants to break that record, and needs 18,000 points or more to do so.
Then , the required inequality will be :

The answer to this question is true