(D) Let $g$ be the number of apples the girl receives and $b$ be the number of apples the boy receives. We have $g + b = 11$.By the Pigeonhole Princip

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the girl receives at least $4$ apples or the boy receives at least $8$ apples

(D) Let $g$ be the number of apples the girl receives and $b$ be the number of apples the boy receives. We have $g + b = 11$.By the Pigeonhole Principle, if we distribute $11$ items into $2$ groups, at least one group must contain at least $\lceil 11/2 \rceil = 6$ items.However, we check the given options using the condition $g + b = 11$.If $g Therefore, it must be that $g \geq 4$ or $b \geq 8$.

Class 11 Mathematics Linear Inequalities Word problem of Linear inequalities

Medium

Eleven apples are distributed among a girl and a boy. Then, which one of the following statements is true?

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A
at least one of them will receive $7$ apples
B
the girl receives at least $4$ apples or the boy receives at least $9$ apples
C
the girl receives at least $5$ apples or the boy receives at least $8$ apples
D
the girl receives at least $4$ apples or the boy receives at least $8$ apples

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Word problem of Linear inequalities

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Eleven apples are distributed among a girl and a boy. Then, which one of the following statements is true?

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