Let Universal set = U = { a , b , c , d , e , f , g , h , i , j } . V = { a , e , i , f , h } , and W = { a , c , e , g , i }1) Which of the following is the correct listing of the members of V ∪ Wa. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}2) Which of the following is the correct listing of the members of V ∩ Wa. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}3) Which of the following is the correct listing of the members of V ∪ W ′ a. {a,b,d,e,f,h,i,j}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {a,b,d,e,i,j}4) Which of the following is the correct listing of the members of V ′ ∩ W ′ a. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}

Question

Let Universal set   =  U  =  {  a  ,  b  ,  c  ,  d  ,  e  ,  f  ,  g  ,  h  ,  i  ,  j  }  .  V  =  {  a  ,  e  ,  i  ,  f  ,  h  }  ,  and     W  =  {  a  ,  c  ,  e  ,  g  ,  i  }1) Which of the following is the correct listing of the members of   V  ∪  Wa. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}2) Which of the following is the correct listing of the members of   V  ∩  Wa. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}3) Which of the following is the correct listing of the members of   V  ∪      W    ′  a. {a,b,d,e,f,h,i,j}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {a,b,d,e,i,j}4) Which of the following is the correct listing of the members of       V    ′    ∩      W    ′  a. {a,a,c,e,e,f,g,h,i,i}b. {a,e,i}c. {a,c,e,f,g,h,i}d. {b,d,j}

Siena Bennett · Accepted Answer

Step 1Union   (  ∪  ) means ccombination of V and W  V  ∪  W.  V  ∪  W  =  {  a  ,  c  ,  e  ,  i  ,  t  ,  g  ,  h  }  =  {  a  ,  c  ,  e  ,  t  ,  g  ,  h  ,  i  }So, (c) is correct  V  ∩  W  (  ∩  ) Intersection means in common between V and W.  V  ∩  W  =  {  a  ,  e  ,  i  }(B) is correct  V  ∪      W    ′        w    ′    =  other than W      w    ′    =  b,d,f,h,jStep 2  V  ∪      W    ′    =  {  a  ,  b  ,  d  ,  t  ,  h  ,  i  ,  j  }Option (A) is correct      V    ′    ∩      W    ′        v    ′    =  {  b  ,  c  ,  d  ,  g  ,  j  }      w    ′    =  {  b  ,  d  ,  t  ,  n  ,  j  }      v    ′    ∩      w    ′    =  {  b  ,  d  ,  j  }Option (d) is correct.

Let Universal set =U={a,b,c,d,e,f,g,h,i,j}, V={a,e,i,f,h}, and W={a,c,e,g,i}.

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