Let $\mathrm{A}=\{1,2\}, \mathrm{B}=\{1,2,3,4\}, \mathrm{C}=\{5,6\}$ and $\mathrm{D}=\{5,6,7,8\} .$ Verify that
(i) $\mathrm{A} \times(\mathrm{B} \cap \mathrm{C})=(\mathrm{A} \times \mathrm{B}) \cap(\mathrm{A} \times \mathrm{C})$.
(ii) $\mathrm{A} \times \mathrm{C}$ is a subset of $\mathrm{B} \times \mathrm{D}$.

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Algebra

NCERT Class 11 - Math

Chapter 2

Relations and Functions

Section 1

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