Let S1, S2, S3 be convex sets. Is their intersection nS, necessarily a convex set If 'yes' show, if 'no' argue why?

ALEKS Christian Seither - Learn X + https://www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-1BjnuwZGiwe FMYphv4tCLy6BMpSgONHO-bYqPmu SETS Identifying equivalent and equal sets or each pair of sets, choose the best description. (a) A={g, h, j, k} B=j,r, q, k) (b) A is the set of integers greater than 13 and less than 17. B is the set of integers greater than 13. (c) A is the set of odd numbers greater than 4 and less than 12. B=(24, 25, 26) (d) A=(95, 94, 93) B=(93, 94, 95} Pair of sets xplanation Check 000000000000000+ $5 O Search Description O equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal O equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal O equivalent but not equal O equal but not equivalent. O both equivalent and equal Oneither equivalent nor equal O equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent…

b. Identify the systems from task (2a) that demonstrate closure, i.e., the result of the operation always produces an element in the set.c. Identify the systems from task (2a) that have an identity element.

Is a convex quadrilateral a convex set?