Question

A= {x:x is an element of Z and x^2 is less than or equal to 8}
B= {x:x is an element of R and x^3 =4x}

are the sets equal? justify your ans?

Answer 1

Answer:

A and B sets are equal

Step-by-step explanation:

x is element of z ( z means set of integers ) it gives a . x<= 2.08

b . x = 2

Answer 2

Answer:

no the sets are not equal because 1 and -1 are not the elements of B

Step-by-step explanation:

set A consists of those element whose square is equal to or less than 8

So,

A={-2,-1,0,1,2}

for set B the value of x should be

x³ = 4x

x³-4x = 0

x(x²-4) = 0

x(x+2)(x-2) = 0 by a²-b²=(a+b)(a-b)

So,

B = {-2,0,2}