Question

Question was provided via image upload.

Explanation:

Step1: Choose correct Venn layout

Select the second button (two separate circles, no overlap) since sets $X$ and $Z$ have no common elements.

Step2: Place elements in set $X$

Move numbers 1, 3, 5, 7 into the red circle labeled $X$.

Step3: Place elements in set $Z$

Move numbers 2, 9 into the blue circle labeled $Z$.

Step4: Place remaining elements in $U$

Move numbers 4, 6, 8 into the outer region (inside the green border of $U$, outside both circles).

Answer:

• Venn diagram layout: Two non-overlapping circles (second bottom button selected)
• Red circle ($X$): Contains $\{1, 3, 5, 7\}$
• Blue circle ($Z$): Contains $\{2, 9\}$
• Universal set ($U$) outer region: Contains $\{4, 6, 8\}$