Advertisements
Advertisements
Question
Show that the set of letters needed to spell "CATARACT" and the set of letters needed to spell "TRACT" are equal.
Solution
Letters required to spell CATARACT are {C, A, T, R}. Let this set be denoted as E.
E = {C, A, T, R}
Letters required to spell TRACT are {T, R, A, C}. Let this set be denoted as F.
F = {T, R, A, C}
The two sets E & F are equal because every element of E is a member of F & every element of F is a member of E.
APPEARS IN
RELATED QUESTIONS
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 = {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.
A = {x : x is a letter in the word FOLLOW};
B = {y : y is a letter in the word WOLF}
From the sets given below, select equal sets:
A = {2, 4, 8, 12},
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?
\[A = \left\{ 1, 2, 3 \right\};\]
Which of the following sets are equal?
(i) \[A = \left\{ 1, 2, 3 \right\};\]
(ii) \[B = \left\{ x \in R : x^2 - 2x + 1 = 0 \right\};\]
(iii) \[C = \left\{ 1, 2, 2, 3 \right\};\]
(iv) \[D = \left\{ x \in R : x^3 - 6 x^2 + 11x - 6 = 0 \right\}\]
Are the following sets equal?
A = {x : x is a letter in the word reap}:
B = {x : x is a letter in the word paper};
C = {x : x is a letter in the word rope}.
From the sets given below, pair the equivalent sets:
\[A = \left\{ 1, 2, 3 \right\}, B = \left\{ t, p, q, r, s \right\}, C = \left\{ \alpha, \beta, \gamma \right\}, D = \left\{ a, e, i, o, u \right\} .\]
Are the following pairs of sets equal? Give reasons.
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"}.
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}.
Which of the following sets are equal?
A = {x : x ∈ N, x, < 3},
B = {1, 2}
C = {3, 1}
D = {x : x ∈ N, x is odd, x < 5},
E = {1, 2, 1, 1} F = {1, 1, 3}.
For any set A, (A')' is equal to
The set \[\left( A \cup B' \right)' \cup \left( B \cap C \right)\] is equal to
Let F1 be the set of all parallelograms, F2 the set of all rectangles, F3 the set of all rhombuses, F4 the set of all squares and F5 the set of trapeziums in a plane. Then F1may be equal to
Decide which of the following are equal sets and which are not. Justify your answer.
- A = {x | 3x - 1 = 2}
- B = {x | x is a natural number but x is neither prime nor composite}
- C = {x | x ∈ N, x < 2}
Decide whether sets A and B are equal sets. Give reason for your answer.
A = Even prime numbers
