Question

(i) If A = {x:x is a natural number, x < 5 and x > 7), then n(A) is
(A) 1
(B) 0
(C) 2
(D) 3. pls give me the steps.​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{A=\{x|x\;is\;a\;natural\;number,\;x<5\;and\;x>7\}}$

$\underline{\textbf{To find:}}$

$\textsf{n(A)}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{A=\{x|x\;is\;a\;natural\;number,\;x<5\;and\;x>7\}}$

$\textsf{Clearly, there is no natural number less than 5}$

$\textsf{and greater than 7}$

$\implies\textsf{A contains no element}$

$\implies\boxed{\mathsf{n(A)=0}}$

$\underline{\textbf{Answer:}}$

$\mathsf{Option\;(B)\;is\;correct}$

$\underline{\textbf{Find more:}}$

If U={x:x in N x<=30} A={x:x is prime <5} B={x:x is a perfect square <=10} and C={x:x is a perfect cube <=30} then verify the following results : (i) (A uu B)'=A'nn B' (ii)(A nn B)'=A'uu B' (iii) (A nn B)nn C=A nn(B nn C) (iv) A'-B'=B-A

https://brainly.in/question/19022578  

Answer 2

If A = {x:x is a natural number, x < 5 and x > 7), then n(A) is

(A) 1

(B) 0

(C) 2

(D) 3. pls give me the steps.