PRACTICE PROBLEMS - UNIONS, INTERSECTIONS AND COMPLEMENTS

QUESTION 1

If LaTeX: U=\left\{m,\:o,\:n,\:a,\:r,\:c,\:h\right\}, LaTeX: A=\left\{m,\:a,\:r,\:c,\:h\right\} and LaTeX: B=\left\{c,\:o,\:r,\:n\right\} determine

  • LaTeX: A\cup B
  • LaTeX: A\cap B
  • LaTeX: A'
  • LaTeX: B'
  • LaTeX: \left(A\cup B\right)'
  • LaTeX: \left(A\cap B\right)'
  • LaTeX: A\cup B'
  • LaTeX: A\cap B'

QUESTION 2

If LaTeX: U=\left\{a,\:f,\:,t,\:e,\:r,\:s,\:h,\:o,\:c,\:k\right\}, LaTeX: A=\left\{h,\:e,\:a,\:r,\:t\right\} and LaTeX: B=\left\{c,\:h,\:o,\:k,\:e\right\} determine

  • LaTeX: A\cup B
  • LaTeX: A\cap B
  • LaTeX: A'
  • LaTeX: B'
  • LaTeX: \left(A\cup B\right)'
  • LaTeX: \left(A\cap B\right)'
  • LaTeX: A\cup B'
  • LaTeX: A\cap B'

QUESTION 3

If LaTeX: U=\left\{r,\:e,\:d,\:u,\:c,\:t,\:i,\:o,\:n,\:s\right\}, LaTeX: A=\left\{n,\:o,\:i,\:s,\:e\right\} and LaTeX: B=\left\{s,\:u,\:c,\:t,\:i,\:o,\:n\right\} determine

  • LaTeX: A\cup B
  • LaTeX: A\cap B
  • LaTeX: A'
  • LaTeX: B'
  • LaTeX: \left(A\cup B\right)'
  • LaTeX: \left(A\cap B\right)'
  • LaTeX: A\cup B'
  • LaTeX: A\cap B'