Section 2.2.H: Homework
- Page ID
- 212978
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Section 2.2: Subsets - Homework Exercises
Let A = {1, 3, 7}, B = {1, 3, 5, 7, 9}, C = {3, 5, 9}, D = {1, 3, 5, 7, 9, ….}, and E = {3, 5, 9}. Decide whether each of the statements is true or false.
- A ⊆ B
- B ⊆ A
- A ⊂ B
- B ⊂ A
- A ⊆ C
- C ⊆ A
- A ⊂ C
- C ⊂ A
- B ⊆ C
- C ⊆ B
- B ⊂ C
- C ⊂ B
- C ⊆ D
- D ⊆ C
- C ⊂ D
- D ⊂ C
- C ⊆ E
- E ⊆ C
- E ⊂ C
- C ⊂ E
- Answer
-
- True
- False
- True
- False
- False
- False
- False
- False
- False
- True
- False
- True
- True
- False
- True
- False
- True
- True
- False
- False
Let U = the set of all letters in the English alphabet, A = {a, b, c}, B = {a, b, c, d}, C = {a, b, c}, D = {a, e, i, o, u}, and E = the set of all vowels in the English alphabet. Decide whether each of the statements is true or false.
- A ⊆ B
- B ⊆ A
- A ⊂ B
- B ⊂ A
- A ⊆ C
- C ⊆ A
- A ⊂ C
- C ⊂ A
- E ⊆ D
- E ⊂ D
- D ⊂ E
- D ⊆ E
- D ⊆ U
- D ⊂ U
- U ⊆ D
- U ⊂ D
- Answer
-
- True
- False
- True
- False
- True
- True
- False
- False
- True
- False
- False
- True
- True
- True
- False
- False
Let A = {x ∈ ℕ | x is odd and 0 < x < 10}, B = {3, 5, 7,}, C = {2, 4, 6, 8}, D = {3, 5, 7, 9}, and E = {1, 3, 5, 7, 9, 11}. Decide whether each of the statements is true or false.
- A ⊆ B
- A ⊂ B
- B ⊆ A
- B ⊂ A
- A ⊆ C
- A ⊂ C
- C ⊆ A
- C ⊂ A
- A ⊆ D
- A ⊂ D
- D ⊆ A
- D ⊂ A
- A ⊆ E
- A ⊂ E
- E ⊆ A
- E ⊂ A
- Answer
-
- False
- False
- True
- True
- False
- False
- False
- False
- False
- False
- True
- True
- True
- True
- False
- False