Question

D {x : x is an integer -3 < x < 3}
E = {x : x is a factor of 8}
find the union of this question

Answer 1

Please see the attachment

Answer 2

Answer: The union of sets D and E is  {$-2,-1-0,1,2,4,8$}.

Step-by-step explanation:

Given:We haven sets D ={x : x is an integer -3 < x < 3}

                       and        E = {x : x is a factor of 8}

To find:We have to find union of the given sets i.e. $D$∪$E$.

Explanation:

Step 1:It is given that D={x : x is an integer -3 < x < 3}.it means that the      elements of set D lies between -3 and 3 respectively.

i.e.                               $D=${$-2,-1,0,1,2$}

Step 2:It is also given that E={x : x is a factor of 8}.It means that the elements of E are the factors 8.

i.e.                           $E=$ {$1,2,4,8$}

Step 3:As we know that the union of two sets is a set containing all elements that belongs to both sets D and E respectively.

i.e.                        $D$∪$E$ $=$ {$-2,-1-0,1,2,4,8$}

∴ The union of sets D and E is  {$-2,-1-0,1,2,4,8$}.

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