Venn diagrams gives a visual representation of the distribution of a whole divided into two or more groups using circles. Going by the scale of the Venn diagram given, only the inequalities A, C, E and F must always be true.
Size of brown hair = H
Size of brown eyes = E
Size of those who have both = X
From the Venn diagram given ; we can deduce that H = E
Evaluating the inequalities :
- H ≥ E is True because H = E
- H ≥ X is True because proportion of H is more than X
- H > X is True because proportion of H is more than X
- H + 10 ≥ E is must not always be True because H = E ; adding 10 more to H will make H more than E always.
- H + 10 ≥ X is False because proportion of H is more than X, adding 10 more to H, the proportion gets bigger
- H + 10 > X is True because proportion of H is more than X
Therefore, only the inequalities A, C, E and F must always be true.
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