Write down the power sets of the following sets.
(i) $A = {x, y}$
(ii) $X = {a, b, c}$
(iii) $A = {5, 6, 7, 8}$
(iv) $A = ϕ$

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Solution

$(1) A = {x, y}$
$P (A) = {ϕ, {x}, {y}, {x, y}}$
$(2) X = {a, b, c}$
$P (X) = {ϕ, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}}$
$(3) A = {5, 6, 7, 8}$
$P (A) = {ϕ, {5}, {6}, {7}, {8}, {5, 6}, {6, 7}, {7, 8}, {3, 7}, {5, 8}, {6, 8}, {5, 6, 7}, {5, 7, 8}, {6, 7, 8}, {5, 6, 8}, {5, 6, 7, 8}$
$(4) A = ϕ$
$P (A) = {ϕ}$

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