Question

U = {a, b, c, d, e, f, g, h}, A = {b, d, f, h} மற்றும் B = {a, d, e, h} எனில்‌ பின்வரும்‌ கணங்களைக்‌ காண்க.

(i) A’
(ii) B’
(iii) A'∪B'
(iv) A'∩B'
(v) (A∪B)'
(vi) (A∩B)^'
(vii) (A’)’
(viii) (B’)’

Answer 1

Answer:

your day going so far away from me and my mom hbd J Cole and Kendrick Lamar and I don't know how to take a nap in my life is a very good at all and I think I can get a chance to you and I don't know

Answer 2

U = {a, b, c, d, e, f, g, h}, A = {b, d, f, h} மற்றும் B = {a, d, e, h}:  

(i) A'

$\begin{aligned}&\mathrm{U}-\mathrm{A}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\}+\{\mathrm{b}, \mathrm{d},\mathrm{h}\}\\&=\{a, c, e, g\}\end{aligned}$

(ii) B'

$\begin{aligned}&\mathrm{U}-\mathrm{B}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\}- \{\mathrm{a}, \mathrm{d},\mathrm{h}\}\\&=\{b, c, f, g\}\end{aligned}$

(iii) A'∪B'

$\begin{aligned}&A^{\prime} \cup B^{\prime}=\{a, c, e, g\} \cup\left\{b, c, f,g}\right\}\\&=\{a, b, c, e, g, g\}\end{aligned}$

(iv) A'∩B'

$\begin{aligned}&\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}=\{\mathrm{a}, \mathrm{c}, \mathrm{e}, \mathrm{g}\} \cap\{\mathrm{b}, \mathrm{c}, \mathrm{f}, \mathrm{g}\}\\&=\{c, g\}\end{aligned}$

(v) (A∪B)'

$(A \cup B)^{\prime}=\{c, g\}$

(vi)(A∩B)'

$\begin{aligned}&(\mathrm{A} \cap \mathrm{B})^{\prime}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\}- \{\mathrm{d},\mathrm{h}\} \\&=\{a, b, c, e, f, g\}\end{aligned}$

(vii) (A')'

$\begin{aligned}&\mathrm{U}-\mathrm{A}^{\prime}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\}\\&\{a, c, e, g\}\\&=\{b, d, f, h\}=A\end{aligned}$

(viii) (B')'

$\begin{aligned}&\mathrm{U}-\mathrm{B}^{\prime}=\{\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}, \mathrm{h}\}\\&\{b, c, f, g\}\\&=\{a, d, e, h\}=B\end{aligned}$