Question

let the universal set s be the set containing the 26 letters of the english alphabet. set a contains the letters in the word \math\, and set b contains the letters in the word \lemon\. using set roster notation, write the set a ∩ b. provide your answer below: {□}

Explanation:

Step1: Identify elements of set A

Set \( A \) contains letters from "MATH", so \( A = \{M, A, T, H\} \).

Step2: Identify elements of set B

Set \( B \) contains letters from "LEMON", so \( B = \{L, E, M, O, N\} \).

Step3: Find intersection \( A \cap B \)

The intersection of two sets is the set of elements common to both. Comparing \( A \) and \( B \), there are no common elements. So \( A \cap B = \{\} \) (the empty set).

Answer:

$\{\}$