Question

are these sets equal ? R={ x:.; x = 2n + 3 , n < 4; n € N } S={x:x=n/(n+1); n € R,n<4}


part 4 of que 9 of the pic given​

Answer 1

Answer:

No the sets are not equivalent.

Step-by-step explanation:

R will have { 5,7,9,11}. Cardinality of R = 4

S will have several numbers.

n/(n+1) here the denominator is more than the numerator if n is positive. So it will have range (0,1) here.

Since n belongs to Real no.s, the set n/n+1 will contain infinite numbersR(it will contain decimals and irrationals nd what not)

So cardinality of S = infinity.

Since cardinality of S is not equal to R,they are not equivalent.