Question #144631
Let X = {0, 1, 2}. List the elements of each of the following sets:
a. {z : z = 2x and x ∈ X}
b. {z : z = x + y where x ∈ X and y ∈ X}
1
Expert's answer
2020-11-17T07:04:30-0500

a: let's iterate over the elements in the set x to make new set

20=02*0=0 , 21=22*1=2 , 22=42*2=4

it means set is {0, 2, 4}

b: let's iterate over the elements in the set x to make new set

0+0=0,0+1=1,0+2=2,0+0=0, 0+1=1,0+2=2,

1+1=2,1+2=3,2+2=41+1=2,1+2=3,2+2=4

it means set is {0, 1, 2, 3, 4}


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