Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Using the adjacent Venn diagram, find the following set: B – C - Mathematics

Diagram
Sum

Using the adjacent Venn diagram, find the following set:

B – C

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Solution

From the diagram we get

U = {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7, 8},

A = {−2, −1, 3, 4, 6}

B = {− 2,−1, 5, 7, 8}

C = {−3, −2, 0, 3, 8}

A’ = U – A 

= {−3, −2, −1, 0, 1, 2, 3, 4, 5, 6, 7, 8} – {– 2, –1, 3, 4, 6}

= {– 3, 0, 1, 2, 5, 7, 8}

B’ = U – B 

= {– 3, – 2, –1, 0, 1, 2, 3, 4, 5, 6, 7, 8} – {– 2, –1, 5, 7, 8}

= {– 3, 0, 1, 2, 3, 4, 6}

B ∪ C = {– 2, –1, 5, 7, 8} ∪ {– 3, – 2, 0, 3, 8}

= {– 3, – 2, – 1, 0, 3, 5, 7, 8}

B ∩ C = {– 2, –1, 5, 7, 8} ∩ {– 3, – 2, 0, 3, 8}

= {– 2, 8}

B – C = {–1, 5, 7}

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Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 1 Set Language
Exercise 1.5 | Q 1. (ii) | Page 28
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