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For P  = {8 , 12 , 13 , 15 }, Q  = {16 , 11 }, and R  = {4 , 6 , 9 , 11 }, find P ∪ (Q∩ R).

 

the answer is ___

 Sep 7, 2017
 #1
avatar+71 
+1

Q   intersection   R  is { 11 }.                   Apologies,this site won't let me use intersection symbols.

 

 P    U    {11 }        is  { 8   12  13  15 }     U     {11}    which is

 

{ 8   11   12   13   15 }    ,your answer.

 

You can also,and probably should,use set algebra for this.  As below

 

 

P   U  (Q intersection R)       =  ( P U Q)    intersection    ( P  U R) .     You will get the same answer.

 

 

 

{ If anyone out there can tell me how to get maths symbols on this site,please do. This is getting quite frustrating. }   

 Sep 7, 2017
 #2
avatar+7352 
+2

You can copy and paste the intersection symbol, like this one in the problem:  ∩

 

If there is such a symbol for what you need, you can usually find it in a google search.

 

If you can't find one....you can use LaTeX to make most symbols. For example, typing " \cap " into LaTeX makes an ∩ . If you can't find the right symbol in the buttons at the top...the code you need might be in this post or this post.   smiley

hectictar  Sep 7, 2017
 #3
avatar+71 
+2

ok thanks Hectitar, will give it a try.

 Sep 8, 2017

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