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# 2 - The University of Sydney MATH 1004 Second Semester...

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The University of Sydney MATH 1004 Second Semester Discrete Mathematics 2011 Tutorial 2 Week 3 1. Use the notation of set theory to describe: ( i ) The set of all odd integers between 2 and 10. ( ii ) The set of all odd integers between 2 and 200. ( iii ) The set of all odd integers. ( iv ) The set of integers divisible by 4. For this exercise, do not use the dots notation (like . . . ). 2. Which of the following statements are true? ( i ) { 2 , 4 } ⊆ { 1 , 2 , 3 , 4 , 5 , 6 } . ( ii ) { 2 } ⊆ { 1 , 2 , 3 , 4 , 5 , 6 } . ( iii ) 2 ⊆ { 1 , 2 , 3 , 4 , 5 , 6 } . ( iv ) 2 ∈ { 1 , 2 , 3 , 4 , 5 , 6 } . ( v ) { 2 } ∈ { 1 , 2 , 3 , 4 , 5 , 6 } . Give reasons for your answers. 3. Let A = { 1 , 2 , 3 , { 2 } , { 2 , 3 } , 4 } . Which of the following statements are true? ( i ) { 2 } ∈ A . ( ii ) {{ 2 }} ⊆ A ( iii ) { 2 , { 2 }} ⊆ A . ( iv ) { 2 , { 3 }} ⊆ A . ( v ) { 2 , 3 } ∈ A . ( vi ) { 3 , { 2 , 3 }} ⊆ A .

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2 - The University of Sydney MATH 1004 Second Semester...

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