Question

refer to the venn diagram for the following questions.
what would best describe the universal set u?
{1,9}
{x | x < 10}
positive integers less than 10
odd integers

Explanation:

The universal set \( U \) in a Venn diagram contains all the elements under consideration. Looking at the Venn diagram, the elements are \( 1,2,3,4,5,6,7,8,9 \).

• The set \(\{1,9\}\) only has two elements, which is not all elements in \( U \).
• The set \(\{x|x < 10\}\) includes non - integer values (e.g., \( 1.5\)) which are not in the Venn diagram.
• The set of odd integers would exclude \( 2,4,6,8\) which are in the Venn diagram.
• The set of positive integers less than \( 10\) (\(1,2,3,4,5,6,7,8,9\)) matches all the elements in the Venn diagram.

Answer:

positive integers less than 10