1st Edition

ISBN: 9780078035616

Author: Julie Miller

Publisher: MCG

Concept explainers

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Chapter 1.7, Problem 32PE

(a)

To determine

X∪Y if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

(b)

To determine

X∩Y if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

(c)

To determine

X∪Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

(d)

To determine

X∩Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

(e)

To determine

Y∪Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

(f)

To determine

Y∩Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

Expert Solution & Answer

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Chapter 1.7, Problem 31PE

Chapter 1.7, Problem 33PE

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• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0

Chapter 1 Solutions

College Algebra Essentials

Ch. 1.1 - Skill Practice 1 Solve. 5(v - 4) - 2 = 2(v + 7) -...Ch. 1.1 - Prob. 2SP Ch. 1.1 - Prob. 3SP Ch. 1.1 - Prob. 4SP Ch. 1.1 - Prob. 5SP Ch. 1.1 - Prob. 6SP Ch. 1.1 - Prob. 7SP Ch. 1.1 - Prob. 8SP Ch. 1.1 - Prob. 9SP Ch. 1.1 - Prob. 1PE

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X ∪ Y if X = { − 10 , − 9 , − 8 , − 7 } , Y = { − 10 , − 8 , − 6 , − 4 } , Z = { − 6 , − 5 , − 4 , − 3 , − 2 }

Concept explainers

X∪Y if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

X∩Y if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

X∪Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

X∩Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

Y∪Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

Y∩Z if X= { −10,−9,−8,−7}, Y={ −10,−8,−6,−4}, Z={ −6,−5,−4,−3,−2}

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Chapter 1 Solutions