Advertisements
Advertisements
प्रश्न
Is {x : x2 – 7x + 12 = 0} = {3, 4} ?
उत्तर
x2 - 7x + 12 = 0
⇒ x2 - 4x - 3x + 12 = 0
⇒ x (x - 4) - 3(x - 4) = 0
⇒ (x - 4) (x - 3) = 0
∴ Either x - 4 = 0
⇒ x = 4
Or
x - 3 = 0
⇒ x = 3
∴ {x : x2 - 7x + 12 = 0}
= {3, 4} is true.
APPEARS IN
संबंधित प्रश्न
Is {1, 2, 4, 16, 64} = {x : x is a factor of 32}? Give reason.
Write the set of odd factors of 72.
Write the set of prime factors of 3234.
Is {x : x2 – 5x – 6 = 0} = {2, 3} ?
Find the cardinal number of the following sets:
A1 = {-2, -1, 1, 3, 5}
Find the cardinal number of the following sets:
A2 = {x : x ∈ N and 3 ≤ x <7}
Find the cardinal number of the following sets:
A3 = {p : p ∈ W and 2P - 3 < 8}
State the following statement is true or false:
If E = {factors of 16} and F = {factors of 20}, then E = F.
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:
n(A) = n(B) => A = B.
