Question

Consider the universal set U = { satellite radio, hammer, strawberry, ice cream, pencil, bread, flat-screen TV, hat, chocolate chip cookie, hybrid automobile, fish, banana} Let M = {x : x is human made} Let E = {y : y is edible}see photo for question.

Answer 1

SOLUTION

Step1

write out the universal set

$U=\mleft\lbrace satelliteradio,hammer,strawberry,icecream,pencil,bread,flat-screenTV,hat,chocolatechipcookie,hybridautomobile,fish,banana\mright\rbrace$

Step2

List out the subset of set M and set E

M= {X: x is human-made }. This set contains those items that are made by human

$M=\mleft\lbrace\text{satelite radio,hammer,ice cream,pencil,bread,flat-scre}en\text{ TV,hat,chocolate cookie,hybrid automobile}\mright\rbrace$

E={Y:y is edible }, this contains those items that are edible

$E=\mleft\lbrace\text{strawberry,ice}-\text{cream,bread,chocolate cookies,fish, banana}\mright\rbrace$

Step3: Take the common element to the two set above

$M\cap E\text{ are those element common to the two sets above }$

Hence,we are taking those items that are made by humans and are edible

$M\cap E=\mleft\lbrace\text{ice}-\text{cream,bread,Chocolate Chip cookies }\mright\rbrace$

Therefore the elements that apply to set M n E are Bread, Ice-cream