Show that the set of letters needed to spell “CATARACT” and the set of letters needed to spell “TRACT” are equal.

Explanation

To show that the set of letters needed to spell "CATARACT" and the set of letters needed to spell "TRACT" are equal, we will follow these steps:

### Step 1: Identify the letters in each word
- For "CATARACT", the letters are: C, A, T, A, R, A, C, T.
- For "TRACT", the letters are: T, R, A, C, T.

### Step 2: Create sets from the letters
- The set of letters for "CATARACT" (let's call it Set C) will include each letter only once, regardless of how many times it appears in the word. Thus, Set C = {C, A, T, R}.
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