Advertisements
Advertisements
प्रश्न
State, if the following pair of a set is equal or not:
E = {x : x 2 + 8x - 9 = 0} and F = {1, - 9}
उत्तर
E = {x : x2 + 8x − 9 = 0}
x2 + 8x − 9 = 0
⇒ x2 + 9x − x − 9 = 0
⇒ x(x+9) − 1(x+ 9) = 0
⇒ (x−1) (x+9) = 0
∴ Either x + 9 = 0
⇒ x = −9
Or
x − 1 = 0
⇒ x = 1
∴ E = {−9, 1}
F = {1, −9}
Now we see that the elements of sets E and F are the same (identical)
Sets E and F are equal.
APPEARS IN
संबंधित प्रश्न
Write with reason, whether the following set is finite or infinite.
B = {y | y < -1, y is an integer}
Write with reason, whether the following set is finite or infinite.
Set of the rational number
State the following sets are finite or infinite:
P = {y : y = 3x -2, x ∈ N & x > 5}
Find, if the following sets are singleton sets:
A = {x : 7x – 3 = 11}
State if the following set is a finite set or an infinite set:
The set of whole numbers less than 12.
Identify the following sets are equivalent or unequal or equal sets?
C = {2, 3, 4, 5}
D = {x : x ∈ W, 1 < x < 5}
Identify the following set as null set or singleton set
C = {0}
If S = {square, rectangle, circle, rhombus, triangle}. List the elements of the following subset of S
The set of shapes which have 5 sides
Write down the power set of the following set:
A = {a, b}
If n[P(A)] = 256, find n(A)
