3-5 W orking With Sets
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Quick Review Ex e r c i se s
The complement of a set A is th e set o f a ll e le m e n ts in th e List all the subsets of each set.
u n iv e r s a l s e t t h a t a re not in A.- {s, t}
Ex a m p l e 39. {5,10,15}
Suppose U = {l, 2 , 3 ,4, 5,6} and Y = {2,4,6}. 40. H o w d o y o u w r it e “A is th e s e t o f e v e n w h o le
What is Y'l n u m b e r s t h a t a re le s s t h a n 1 8 " i n r o s t e r f o r m? H o w
The elem ents in U th a t are not in Y are 1, 3, a n d 5. d o y o u w r it e A^ using set-builder notation?
So Y' = {l, 3,5}. 41. S u p p o s e U = {1,2,3,4, 5, 6,7, 8 } and
B={2,4, 6, 8 }. WhatisB'?3-6 Com pound Inequalities
Quick Review Ex e r c i s e s
T w o in e q u a lit ie s t h a t a re j o i n e d b y th e w o r d and or the Solve each compound inequality.
word or^ are called com pound inequalities. A solution
o f a c o m p o u n d i n e q u a lit y i n v o lv in g and makes both “^42 ■■■ u -2 < -- l/i, I d^ + - < 4-r\ ^ O
in e q u a litie s true. A s o lu tio n o f an in e q u a lity in v o lv in g or 43. 0 < - 8 b < 12
makes either inequality true.
- 2f < -4or7 f> 49
Ex a m p l e 45. 5m < - 1 0 or 3m >^9
What are the solutions of — 3 < z — 1 < 3? 46. -1 < a - 3 < 2
-3 < z — 1 <3 47. 9.1 > 1. 4 p > -6.3
-2 < z < 4 Add 1 to each part of the inequality. 48. Climate A t o w n ’s h ig h t e m p e r a t u r e f o r a g iv e n
m o n t h is 88°F a n d th e l o w t e m p e r a t u r e is 65°F.
W r it e a c o m p o u n d in e q u a l i t y to r e p r e s e n t t h e ra n g e
of temperatures for the given month.PowerAlgebra.com C h a p te r 3 C h a p te r R eview 225