section 4.2 intersections, unions & compound inequalities
DESCRIPTION
Section 4.2 Intersections, Unions & Compound Inequalities. Using Set Diagrams and Notation Intersections of Sets Conjunctions of Sentences and Unions of Sets Disjunctions of Sentences or More Interval Notation Specifying Domains. Sets and Compound Inequalities. - PowerPoint PPT PresentationTRANSCRIPT
4.2 1
Section 4.2Intersections, Unions & Compound Inequalities Using Set Diagrams and Notation Intersections of Sets
Conjunctions of Sentences and Unions of Sets
Disjunctions of Sentences or More Interval Notation Specifying Domains
BA
}5,4{{1,2,3}
[11,17),4)(- )[-2,
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Sets and Compound InequalitiesCompound Inequalities: Two inequalities joined by and or or
Intersection Union Members in Common All Members in Both
“and” “or”
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Intersection: Members in Common
(
)
)(
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Notation:Abbreviated Compound Inequalities
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Solve & Graph
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ebraicaxnowx
x
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(both must be true)Solve & Graph a Conjunction and
}3|{}3|{}1|{),3(3
31
15522
22551725352
515
55
22
22
xxxxxxx
xandxand
xandx
andxandx
xx
[((
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No Solutions:Disjoint Sets The Empty Set
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(both must be true)Solve & Graph a Disjoint Conjunction
}1|{}2|{12
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1133213132
33
33
24
22
xxxxxandx
andxandx
andxandx
xx
(
)
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Union: All Members in Both Sets
(
)
) (
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(either can be true)Solve & Graph a Union or
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24
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1313773513127
510
55
28
22
xxxxxorx
orxorx
orxorx
xx
[
)
) [
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),()7,(}7|{7
"732
3355103252
23
23
23
23
22
xorxxxorx
orxorx
orxorx
x
Try another … (either can be true)Solve & Graph a Union or
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(
)
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The Biggest Possible Solution
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)
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Expressing DomainsWith Interval Notation
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02?2)(
xx
xxfaboutWhat
[
()
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Where do we go from here? … Section
4.3 Absolute Value Equations & Inequalities