Home
Class 12
MATHS
Are the following pairs of sets equal ? ...

Are the following pairs of sets equal ? (i) A={x | x is prime factor of 6 } B={x |x is a solution of `x^2 - 5x + 6 = 0 } Mlbtr` (ii) A={x|y is a letter in the word REPLACED}, B= { y is a letter in the word PARCELED } (iii) A= { x| x is a natural number `x gt 1}` B= {x|x is natural number `x ge 1}`

Text Solution

AI Generated Solution

To determine whether the given pairs of sets are equal, we will analyze each pair step by step. ### Part (i) **Sets:** - \( A = \{ x \mid x \text{ is a prime factor of } 6 \} \) - \( B = \{ x \mid x \text{ is a solution of } x^2 - 5x + 6 = 0 \} \) **Step 1: Find the prime factors of 6.** ...
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Solved Exp|11 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE ENGLISH|Exercise Concept Application Exercise 1.1|12 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos
  • SOLUTIONS AND PROPERTIES OF TRIANGLE

    CENGAGE ENGLISH|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

Are the following pair of sets equal ? Give reasons (i) A = {2,3} B = {x : x " is solution of "x^(2)+5x = 6 = 0} (ii) A = {x : x is a letter in the word FOLLOW} B = {y : y is a letter in the word WOLF}.

Are the following pair of sets equal? Give reasons.(i) A= {2, 3} , B = {x: x is solution of x^2+ 5x + 6 = 0 }(ii) A = { x : x is a letter in the word FOLLOW} B = { y : y is a letter in the word WOLF}

Are the following pairs of sets equal? Give reason. A={1,2,3},\ B{x ; x is a solution of x^2+5x+6=0}

Are the following pairs of sets equal? A={2,3,5},B={x : x is a positive prime divisor of 180}.

Are the following pairs of sets equal? Give reason. A={x : x is a letter of the word WOLF } B={x : x is a letter of the word "F O L L O W"}

Let A={x:x is a letter of word APPRECIATION} B={x:x is a letter of word REPETITION} Find A cup B

If P {x : x is a letter in the word CHANDIGARH } and Q = {x : x is a letter in the word JAMNAGAR }, then find P cup Q and P cap Q

Are the following sets equal? A={x : x is a letter in the word reap } , B={x : x is as letter in the word paper } C={x : x is a letter in the word rope } .

State whether the following pairs of sets are equal or not : A={x|x is a letter in the word SOPHIA} B = {x|x is a letter in the word MUMTAZ}

Find whether the sets A and B are disjoint or overlapping sets : (i) A = { x | x is a letter in the word MODERN } and B = { x | x is a letter in the word MAYOR }