In the following find whether the sets A and B are equal sets or equivalent sets.

(a) A = {x : x ∈ N, x ≤ 7}; B = {x : x ∈ W, x < 7}

(b) A = {set of letters of the word match}; B = {set of letters of the word March}

(c) A = {x : x = n2, n ∈ N, n < 8}; B = {set of all perfect squares less than 50}

(d) A = {set of all odd natural numbers less than 12}; B = {set of all 2-digit prime numbers less than 30}

# In the following find whether the sets A and B are equal sets or equivalent sets (a) A = x : x ∈ N x ≤ 7 B = x : x ∈ W x < 7

Share

Before we solve the given problems first we need to know about equal and equivalent set.

Equal Sets: Equal sets are the sets which have the same elements. Each element of one set is equal to that of another set.Equivalent Sets :In a set if A and B have the same number of elements, then it called equivalent set.Step by Step Solution :(a) A = {x : x ∈ N, x ≤ 7}; B = {x : x ∈ W, x < 7}= A = {1, 2, 3, 4, 5, 6, 7};

= B = {0, 1, 2, 3, 4, 5, 6}

∴Equivalent sets.(b) A = {set of letters of the word match};B = {set of letters of the word March}

= Equivalent sets.

(c) A = {x : x = n2, n ∈ N, n < 8}; B = {set of all perfect squares less than 50}= A = {1, 4, 9, 16, 25, 36, 49};

= B = {1, 4, 9, 16, 25, 36, 49}

∴Equal sets.(d) A = {set of all odd natural numbers less than 12}; B = {set of all 2-digit prime numbers less than 30}= A = {1, 3, 5, 7, 9, 11};

= B = {11, 13, 17, 19, 23, 29}

∴Equivalent sets.