Let mathrm{A}, mathrm{B}, mathrm{C} and mathr | vedclass

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Question

Contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$ is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$

$(\mathrm{A} \subseteq \mathrm{B}) \Lambda(\

Vedclass · Accepted Answer

If $\mathrm{A} 
e \mathrm{C},$ then $\mathrm{A} 
eq \mathrm{B}$ or $\mathrm{B} 
e \mathrm{D}$

Vedclass · Answer

Contrapositive of $\mathrm{p} ightarrow \mathrm{q}$ is $\sim \mathrm{q} ightarrow \sim \mathrm{p}$

$(\mathrm{A} \subseteq \mathrm{B}) \Lambda(\mathrm{B} \subseteq \mathrm{D}) \longrightarrow(\mathrm{A} \subseteq \mathrm{C})$

Contrapositive is

$\sim(\mathrm{A} \subseteq \mathrm{C}) \longrightarrow \sim(\mathrm{A} \subseteq \mathrm{B}) \vee \sim(\mathrm{B} \subseteq \mathrm{D})$

$\mathrm{A} 
eq \mathrm{C} ightarrow(\mathrm{A} 
eq \mathrm{B}) \vee(\mathrm{B} 
eq \mathrm{D})$

Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ be four non-empty sets. The contrapositive statement of "If $\mathrm{A} \subseteq \mathrm{B}$ and $\mathrm{B} \subseteq \mathrm{D},$ then $\mathrm{A} \subseteq \mathrm{C}^{\prime \prime}$ is

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