Overlap the way I've drawn it is at the number 3. And so when we're talkingĪbout X intersect Y, we're talking about where We have set X- I'll just drawĪs circle right over here. Is- you could view that as the set of all numbers. And one way to visualize setsĪnd visualize intersections and unions and moreĬomplicated things, is using a Venn diagram. Things, we really don't care about order if The object, the number 3, so we can only have a 3 once. Have multiple people with the same number of apples. Somebody's score on a test or the number of So this is going toīe- and the key here is that we care- a set is aĬollection of distinct objects. In some ways you can kind of imagine that Or people often view- as "or." So we're thinking aboutĪll of the elements that are in X or Y. Here, the intersection of X and Y, is the set that The number 13 is in X, but it's not in Y. So what are those things going to be? Well, let's look atīoth sets X and Y. Intersection symbol right here as "and." So all of the things thatĪre in X and in Y. Yield another set that contains the elements Little curly brackets around the objects thatĪre separated by commas. Number 14, the number 15, the number 6, and the number 3. Y- it's a collection of the distinct objects, the I could have called it aīunch of different things. The number 3, the number 12, the number 5, and the number 13. So let's say I haveĪ set X, and it has the distinct objects in it, But the numbers will beĮasy to deal with just because- well, they're numbers. So for example, I could haveĪ set- let's call this set X. So a set is really just aĬollection of distinct objects.
Of a set and also perform some operations on sets. Video is familiarize ourselves with the notion if it is done right you don't realize it's there and you might start to think you don't need it.
Math education is kind of like tech support. there will just be problems that you can now solve without realizing you wouldn't have been able to solve them before. you would either just bypass the problem or possibly not even recognize the situation as a problem in the first place.Īnd if you do learn set theory you most likely won't recognize that you are even using it. you won't slap yourself on the forehead and say "if I only knew set theory!". If you don't have a particular technique in math you will just ignore problems that could have been solved using that technique. and if you don't even know it can be fixed you just write it off. If you know it can be fixed but you don't have the tools then you are frustrated.
#Unit 12 probability homework 1 intro to sets venn diagrams how to
If you have something you want to fix and you know how to fix it and you have the proper tools then the thing gets fixed. I tell my students to think of math as a toolbox. Each technique you learn is a tool that might become useful. Mathematics is a set of tools and techniques that helps us model the truth of the real world in different, sometimes more useful ways. You look at a situation and create a picture of that situation in your head. The truth of a problem exists only in the real world, however you see a problem is a representation of that problem in your mind.
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