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प्रश्न
From the sets given below, select equal sets and equivalent sets.
A = {0, a}, B = {1, 2, 3, 4} C = {4, 8, 12}, D = {3, 1, 2, 4},
E = {1, 0}, F = {8, 4, 12} G = {1, 5, 7, 11}, H = {a, b}.
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उत्तर
Equal sets:
(a) B and D, because every element of B is a member of D & every element of D is a member of B.
(b) C and F, because every element of C is a member of F & every element of F is a member of C
Equivalent sets:
(a) A, E and H {\[\because\]n(A) = n(E) =n(H) = 2}
(b) B, D and G {\[\because\] n(B) = n(D) =n(G) = 4}
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संबंधित प्रश्न
In the following, state whether A = B or not:
A = {a, b, c, d}; B = {d, c, b, a}
In the following, state whether A = B or not:
A = {4, 8, 12, 16}; B = {8, 4, 16, 18}
In the following, state whether A = B or not:
A = {2, 4, 6, 8, 10}; B = {x : x is positive even integer and x ≤ 10}
In the following, state whether A = B or not:
A = {x : x is a multiple of 10}; B = {10, 15, 20, 25, 30, ...}
Are the following pair of sets equal? Give reasons.
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From the sets given below, select equal sets:
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B = {1, 2, 3, 4},
C = {4, 8, 12, 14},
D = {3, 1, 4, 2},
E = {-1, 1},
F = {0, a},
G = {1, -1},
H = {0, 1}
Assume that P (A) = P (B). Show that A = B.
Which of the following sets are equal?
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(iii) \[C = \left\{ 1, 2, 2, 3 \right\};\]
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Are the following sets equal?
A = {x : x is a letter in the word reap}:
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C = {x : x is a letter in the word rope}.
From the sets given below, pair the equivalent sets:
\[A = \left\{ 1, 2, 3 \right\}, B = \left\{ t, p, q, r, s \right\}, C = \left\{ \alpha, \beta, \gamma \right\}, D = \left\{ a, e, i, o, u \right\} .\]
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A = {2, 3}, B = {x : x is a solution of x2 + 5x + 6 = 0}
Are the following pairs of sets equal? Give reasons.
A = {x : x is a letter of the word " WOLF"};
B = {x : x is a letter of the word " FOLLOW"}.
Which of the following sets are equal?
A = {x : x ∈ N, x, < 3},
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C = {3, 1}
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E = {1, 2, 1, 1} F = {1, 1, 3}.
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