Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 5 (i)
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Are the following pair of sets equal? Give reasons.
(i) A = {2, 3}, B = {x : x is solution of x^2 + 5x + 6 = 0}
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Answer
1
Factorize the equation x^2 + 5x + 6 = 0 to find the elements of set B.
(x + 2) (x + 3) = 0
2
Find the values of x that satisfy the equation.
x = -2 or x = -3
Therefore, B = {-2, -3}
3
Determine whether both sets have exactly the same elements.
Answer: No. A $≠$ B
Reason: Set A contains the elements 2 and 3, whereas set B contains the elements −2 and −3. Therefore, the two sets do not contain exactly the same elements, so A $≠$ B