Question

let ( a = {1, 3, 6, 7, 10} ) and ( b = {3, 8, 10} ). indicate if each statement is true or false. ( 8 in a ) ( b subset a )

Explanation:

Step1: Check if 8 is in set A

Set \( A = \{1, 3, 6, 7, 10\} \). We look for the element 8 in set \( A \). Since 8 is not present in the elements of \( A \), the statement \( 8 \in A \) is false.

Step2: Check if \( B \) is a subset of \( A \)

Set \( B = \{3, 8, 10\} \) and set \( A = \{1, 3, 6, 7, 10\} \). A subset \( B \subseteq A \) means every element of \( B \) is an element of \( A \). The element 8 in \( B \) is not in \( A \), so \( B \) is not a subset of \( A \), so the statement \( B \subset A \) is false.

Answer:

s:

• For \( 8 \in A \): False
• For \( B \subset A \): False