MATH 117 Midterm: Term Test 1 - Fall 2017

• School: LUC
• Department: Mathematical Sciences
• Course: MATH 117
• Professor: Theresa Kamykowski

Document Summary

Verbally, roster (in brackets), set-builder (using x). Number sets: empty set: = {} = {x| x (cid:54)= x, natural numbers: n = {1, 2, 3, , whole numbers: w = {0, 1, 2, 3, , integers: z = {. , 3, 2, 1, 0, 1, 2, 3, : rational numbers: q , irrational numbers: p = {decimals which neither repeat nor terminate, real numbers: r = {x| x has a decimal representation} | a z & b n(cid:111) (cid:110) a b: complex numbers: c =(cid:8)a + bi| a, b r; i = If a and b are real numbers, where a < b, then we have: subset of r. {x > a} interval number line (a, b) [a, b] ( , b) (a, ) a a a b b bb. Combining sets: union: a b = {x| x a or x b, intersection: a b = {x| x a and x b}