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Workings

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11/17/12

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SmithMath1 8.4.026combo.

Draw one Venn diagram for the left side of the equation and another for the right. If the final shaded portions are the same, then you have established the equality. If the final shaded portions are not identical, then you have disproved the result. A∩(B C) = (A∩B)∩(A∩C) true false

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SmithMath1 8.1.014.

Specify the sets by description. {30,60,90,...,300} multiples of 30 between 0 and 305

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SmithMath1 8.3.017combo.C MI.

Let U = {16, 17, 18, 19, 20, 21, 22}, B = {16, 19, 20, 22}, and C = {18, 19, 21, 22}. List all the members of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) B = { 17 = { 16 , 18 , 17 , 21 , 20 } }

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SmithMath1 8.4.012combo.C MI.

Draw a Venn diagram to illustrate the relationship given in the problem. (A∩B) (A∩C)

(a)

(b)

(c)

(d)

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SmithMath1 8.4.029.

A college has a 50 piece band and a 34 piece orchestra. If 14 people are members of both the band and the orchestra, can the band and orchestra travel in two 40-passenger buses?

Yes; 70 people can travel in 2 buses. Yes; 64 people can travel in 2 buses. No; 84 people can't travel in 2 buses. No; 98 people can't travel in 2 buses.

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SmithMath1 8.1.027combo.

Classify the sets in the problem as finite or infinite. (a) The set of all possible unwritten entries in your journal. finite infinite

(b) The set of grains of sand on all the beaches on earth. finite infinite

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SmithMath1 8.3.028.C MI.

One question in a survey of 400 members of a club asked the following.

If 160 checked both boxes, what percent of the respondents watched a movies both in a theater and at home? 40 %

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SmithMath1 8.4.019combo.

Let U = {12, 13, 14, 15, 16, 17, 18}, A = {12, 13, 14, 15}, B = {12, 13, 16, 17}, and C = {14, 16, 18}. List all the members of each of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) (a) (A B) ∩ C { 12 (b) (A { 12 , 13 B) ∩ C , 13 , 14 , 16 , 18 } , 15 , 17 , none }

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SmithMath1 8.2.029.alt.C MI.

Draw a Venn diagram showing the relationship among people who have had their wisdom teeth removed and those who have had their appendix removed.

(a)

(b)

(c)

(d)

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SmithMath1 8.2.023combo.C MI.

List all possible subsets of the set A= {3}. {3} ø,{3}

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