1. **State the problem:** We have 980 married women surveyed about having a career and/or a child. Given data: - Total women surveyed: 980 - Checked "Child" box: 320 - Checked "Career" box: 72 - Checked neither box (blank): 603 2. **Define sets:** Let $C$ = set of women with a career. Let $H$ = set of women with a child. 3. **Use the formula for union of two sets:** $$|C \cup H| = |C| + |H| - |C \cap H|$$ 4. **Calculate the number of women who checked at least one box:** $$|C \cup H| = 980 - 603 = 377$$ 5. **Substitute known values to find the intersection:** $$377 = 72 + 320 - |C \cap H|$$ $$|C \cap H| = 72 + 320 - 377 = 15$$ 6. **Find the number of women who checked only career or only child:** - Only career: $$|C| - |C \cap H| = 72 - 15 = 57$$ - Only child: $$|H| - |C \cap H| = 320 - 15 = 305$$ 7. **Summary for Venn diagram:** - Career only: 57 - Child only: 305 - Both career and child: 15 - Neither: 603 This completes the Venn diagram values.