Question

in a linguistics course, the professor asked the students to list all the languages they speak besides english. the table lists the answers of eight students. using the table, complete the following. (a) choose a set that is equivalent, but not equal, to the set of languages spoken by salma. select (b) choose a set that is equal to the set of languages spoken by lena. select (c) find two students whose sets of spoken languages are neither equivalent nor equal. select and select student set of spoken languages yoko {welsh, arabic, german} charmaine {czech, zulu, japanese, oromo} lamar {urdu, zulu, latin, vietnamese, mandarin} alonzo {ethiopian, mandarin} lena {latin, arabic, german} salma {urdu, russian, french, danish} david {arabic, latin, german} amanda {urdu, ethiopian}

Explanation:

(a) Equivalent sets have the same number of elements (cardinality). Salma's set has 4 languages, so any 4-language set that is not identical to hers works.
(b) Equal sets have exactly the same elements. Lena's set {Latin, Arabic, German} matches David's set perfectly.
(c) Two sets are neither equivalent nor equal if they have different sizes and no overlapping identical elements. Yoko's set has 3 languages, Amanda's has 2, and their language sets share no common elements, so they meet this condition. Other valid pairs (e.g., Charmaine and Amanda, Lamar and Yoko) also fit this criteria.

Answer:

(a) Any set with 4 distinct languages that is not {Urdu, Russian, French, Danish} (e.g., {Welsh, Arabic, German, Spanish})
(b) David's set: {Arabic, Latin, German}
(c) Example: Yoko and Amanda (Yoko: {Welsh, Arabic, German}; Amanda: {Urdu, Ethiopian})