This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Question 11: In a study to find the number of languages 50 people can speak, it was revealed that of them speak Yoruba, speak Hausa and speak Igbo. 4 of them speak all three languages and 14 of them speak exactly two languages. Those who speak Igbo and Yoruba only are half of those who speak Yoruba and Hausa only. Those who speak Hausa and Igbo only are 1 less than those who speak Yoruba and Hausa only. 6 of them could not speak any of the languages.
a) Illustrate the information provided in a Venn Diagram.
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In a study to find the number of languages 50 people can speak, it was revealed that (m^2 + 3) of them speak Yoruba, (5m - 3) speak Hausa and (3m + 1) speak Igbo.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.