0 Apply @ 29. Think About a Plan Universal set U a n d s e t A are defined below. W hat are the
elements of A'?
U = {days of th e week}
A = {days of th e w eek th a t contain the letter N}- W hat are th e elem ents of th e universal set?
- W hat are th e elem ents of set A?
- How can you find th e co m p lem en t of set A?
Suppose U = {0,1,2,3,4,5, 6 }, A = {2,4, 6 }, andB = {l, 2,3}. Tell whether
each statement is true or false. Explain your reasoning.- ACU 31. U C B 32. B C A 33.0 CB
Write each set in set-builder notation.- B= {11,12, 13,14, ... } 35. M = {l, 3, 5, 7,9,11, 13,15, 17, 19}
- S = {l, 2,3,4, 6 ,12} 37. G = { ... , - 2 , - 1 , 0 , 1 , 2 ,... }
- Universal set U an d set B are defined below. W hat are th e elem ents of B"?
U = {states of the U nited States}
B = { states th a t do n o t start w ith th e letter A} - Universal set U = { planets in E arth’s solar system } a n d set P = {planets farther
from the sun th a n Earth is from th e sun}. W hat is th e co m p lem en t of set PI W r ite
your answ er in roster form.
Planets in Earth's Solar SystemSolve each inequality. Write your solutions in set-builder notation.- —2(3x + 7) > —14 41. - 2 ( 3 x + 7) > - 1 4 - 6x
- —2(3x + 7) > - 1 4 - 6x 43. - 3 ( 4 x + 8) + 1 > - 2 3
- —3(4x + 8) + 1 > - 2 3 - 12x 45. - 3 ( 4 x + 8) + 1 < - 2 3 - 12x
- Suppose U = {x | x is a m ultiple of 2, x < 18} is the universal set and
C = {4, 8 ,1 2 ,1 6 }. W hat is C '? - Suppose U= {x | x is an integer, x < 12} is th e universal set and
T = { x | x is a n atu ra l n um b er, x < 12}. W hat is 7”? - Open-Ended W rite a tw o-step inequality w ith solutions th a t are given
by {n | n > 0}. - How m any elem ents are in th e set {x | x is an even p rim e n u m b er, x < 100}?
198 Chapter 3 Solving Inequalities