Maharashtra Board Solutions for Chapter: Sets, Exercise 3: Practice set

If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a,e\right\}$, then $\mathrm{C}\subseteq \mathrm{B}$.

If $\mathrm{A}=\left\{a, b, c, d, e\right\}, \mathrm{B}=\left\{c, d, e, f\right\}, \mathrm{C}=\left\{b, d\right\}$ and $\mathrm{D}=\left\{a, e\right\}$, then $\mathrm{A}\subseteq \mathrm{D}$.

If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a,e\right\}$, then $\mathrm{D}\subseteq \mathrm{B}$.

If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a,e\right\}$, then $\mathrm{D}\subseteq \mathrm{A}$.

If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a, e\right\}$, then $\mathrm{B}\subseteq \mathrm{A}$.

If $\mathrm{A}=\left\{a,b,c,d,e\right\},\mathrm{B}=\left\{c,d,e,f\right\},\mathrm{C}=\left\{b,d\right\}$ and $\mathrm{D}=\left\{a, e\right\}$, then $\mathrm{C}\subseteq \mathrm{A}$.

If $U=\left\{1, 2, 3, 7, 8, 9, 10, 11, 12\right\}$ and $P=\left\{1, 3, 7, 10\right\}$, Verify ${\left(P^{\text{'}}\right)}^{\text{'}}=P$.

Which set can be the universal set for the given sets?

$P$ is the set of all residents in Pune.

$M$ is the set of all residents in Madhya Pradesh.

$I$ is the set of all residents in Indore.

$B$ is the set of all residents in India.

$H$ is the set of all residents in Maharashtra.