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Mathematics 17 Online
OpenStudy (pixiedust1):

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jimthompson5910 (jim_thompson5910):

Hint: If set D is a subset of set E, then all of set D is in set E Visually it will look like this |dw:1396829636413:dw|

jimthompson5910 (jim_thompson5910):

exactly, D ∩ E says "you're in BOTH set D AND set E" that's the same as saying "you're just in set D" because all of D is in E

jimthompson5910 (jim_thompson5910):

your drawing suggests that A is a subset of B are you 100% sure that all of A is in B?

jimthompson5910 (jim_thompson5910):

oops I meant B is a subset of A, got that backwards

jimthompson5910 (jim_thompson5910):

either way, neither set is a subset of the other

jimthompson5910 (jim_thompson5910):

so A ∩ B is looking for all numbers that are in BOTH sets at the same time

jimthompson5910 (jim_thompson5910):

In other words, this overlapping region |dw:1396829934880:dw|

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