Advertisements
Advertisements
Question
Is {x : x2 – 5x – 6 = 0} = {2, 3} ?
Solution
x5 - 5x - 6 = 0
⇒ x2 - 6x + x - 6 = 0
⇒ x (x - 6) + 1 (x - 6) = 0
⇒ (x - 6) (x - 1) = 0
∴ Either x - 6 = 0
i.e., x = 6
Or
x + 1 = 0
i.e. x = -1
∴ {x : x2 - 5x - 6 = 0} ≠ {2, 3}
In other words {x : x2 - 5x -6 = 0}
= {2, 3} is not true.
APPEARS IN
RELATED QUESTIONS
Write the set of even factors of 124.
Write the set of odd factors of 72.
Is {x : x2 – 7x + 12 = 0} = {3, 4} ?
Find the cardinal number of the following sets:
A1 = {-2, -1, 1, 3, 5}
Find the cardinal number of the following sets:
A4 = {b : b ∈ Z and -7 < 3b -1 ≤ 2}
If P = {P : P is a letter in the word “PERMANENT”}. Find n (P).
State the following statement is true or false:
The set of even natural numbers less than 21 and the set of odd natural numbers less than 21 are equivalent sets.
State the following statement is true or false:
If A = {x : x is an even prime number}, then set A is empty.
State the following statement is true or false:
The set of odd prime numbers is the empty set.
State the following statement is true or false:
The set of squares of integers and the set of whole numbers are equal sets.
