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Mathematics

If E = {even integers}, then insert the appropriate symbol ∈ or ∉ in the blanks:

(i) 10 …. E

(ii) -8 …. E

(iii) 13 …. E

(iv) {6} …. E

(v) a …. E

(vi) -4, 12 …. E

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Answer

E = {even integers} = {……, -6, -4, -2, 0, 2, 4, 6, ……}

(i) 10 is an even integer, so it is a member of E.

10 ∈ E

(ii) -8 is an even integer, so it is a member of E.

-8 ∈ E

(iii) 13 is an odd integer, so it is not a member of E.

13 ∉ E

(iv) {6} is a set and not a member of E.

{6} ∉ E

(v) a is a letter, not an integer. So it is not a member of E.

a ∉ E

(vi) Both -4 and 12 are even integers, so both are members of E.

-4, 12 ∈ E

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