मराठी

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} - Mathematics

Advertisements
Advertisements

प्रश्न

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}

बेरीज

उत्तर

A = {x : x is a letter in the word FOLLOW} = {F, O, L, W}

B = {y : y is a letter in the word WOLF} = {W, O, L, F}

The order in which the elements of a set are listed is not significant.

∴ A = B = {F, O, L, W}.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.2 [पृष्ठ ९]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.2 | Q 5.2 | पृष्ठ ९

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

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.

A = {2, 3}, B = {x : x is solution of x2 + 5x + 6 = 0}


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 = {ab}. 


Which of the following sets are equal?
A = {x : x ∈ Nx, < 3},
B = {1, 2}
C = {3, 1}
D = {x : x ∈ Nx is odd, x < 5},
E = {1, 2, 1, 1} F = {1, 1, 3}. 


Show that the set of letters needed to spell "CATARACT" and the set of letters needed to spell "TRACT" are equal. 


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, Fthe set of all rectangles, Fthe set of all rhombuses, F4 the set of all squares and Fthe set of trapeziums in a plane. Then F1may be equal to


Decide whether sets A and B are equal sets. Give reason for your answer.

A = Even prime numbers

B = {x | 7x − 1 = 13}

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×