Question

Using the adjacent Venn diagram, find the following set:

A – B

Answer 1

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}

A – B = {3, 4, 6}