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Amina had m mangoes. She ate 3 and shared the remainder equally with her brother…

Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.

  • A.
    (frac{m}{2}-3le 10)
  • B.
    (frac{m}{2}-3ge 10)
  • C.
    (frac{m-3}{2}ge10)
  • D.
    (frac{m-3}{2}le10)
Correct Answer: Option C
Explanation

Total number of mangoes = m

Amina ate 3 mangoes (implies) Remainder = m – 3

Shared equally with Uche (implies frac{m – 3}{2})

(frac{m – 3}{2} geq 10)