Let A, B, C and D be four nonempty sets. The | vedclass

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(A) The contrapositive of a statement of the form $p \rightarrow q$ is $\sim q \rightarrow \sim p$. Here,$p$ is '$A \subseteq B$ and $B \subseteq D$'

Vedclass · Accepted Answer

If $A 
subseteq C$,then $A 
subseteq B$ or $B 
subseteq D$

Vedclass · Answer

(A) The contrapositive of a statement of the form $p ightarrow q$ is $\sim q ightarrow \sim p$. Here,$p$ is '$A \subseteq B$ and $B \subseteq D$' and $q$ is '$A \subseteq C$'. The negation $\sim q$ is '$A 
subseteq C$'. The negation $\sim p$ is '$\sim(A \subseteq B 	ext{ and } B \subseteq D)$',which by De Morgan's law is '$A 
subseteq B$ or $B 
subseteq D$'. Thus,the contrapositive is: If $A 
subseteq C$,then $A 
subseteq B$ or $B 
subseteq D$.

Let $A, B, C$ and $D$ be four nonempty sets. The contrapositive of 'if $A \subseteq B$ and $B \subseteq D$ then $A \subseteq C$' is

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