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જો $\mathrm{A}, \mathrm{B}, \mathrm{C}$ અને $\mathrm{D}$ એ ચાર અરિક્ત ગણ છે . તો વિધાન" જો $\mathrm{A} \subseteq \mathrm{B}$ અને $\mathrm{B} \subseteq \mathrm{D},$ તો $\mathrm{A} \subseteq \mathrm{C}^{\prime \prime}$ નું સમાનર્થી પ્રેરણ મેળવો.
જો $\mathrm{A} \subseteq \mathrm{C},$ તો $\mathrm{B} \subset \mathrm{A}$ અથવા $\mathrm{D} \subset \mathrm{B}$
જો $\mathrm{A} \ne \mathrm{C},$ તો $\mathrm{A} \neq \mathrm{B}$ અથવા $\mathrm{B} \ne \mathrm{D}$
જો $\mathrm{A}\ne\mathrm{C},$ તો $\mathrm{A} \subseteq \mathrm{B}$ અને $\mathrm{B} \subseteq \mathrm{D}$
જો $\mathrm{A} \neq \mathrm{C},$ તો $\mathrm{A} \neq \mathrm{B}$ અને $\mathrm{B} \subseteq \mathrm{D}$
Solution
Contrapositive of $\mathrm{p} \rightarrow \mathrm{q}$ is $\sim \mathrm{q} \rightarrow \sim \mathrm{p}$
$(\mathrm{A} \subseteq \mathrm{B}) \Lambda(\mathrm{B} \subseteq \mathrm{D}) \longrightarrow(\mathrm{A} \subseteq \mathrm{C})$
Contrapositive is
$\sim(\mathrm{A} \subseteq \mathrm{C}) \longrightarrow \sim(\mathrm{A} \subseteq \mathrm{B}) \vee \sim(\mathrm{B} \subseteq \mathrm{D})$
$\mathrm{A} \neq \mathrm{C} \rightarrow(\mathrm{A} \neq \mathrm{B}) \vee(\mathrm{B} \neq \mathrm{D})$
