10. If A ⊆ B and C ⊆ D then show that A×C ⊆ B×D - Advance Math Class 10 - Exercise: 1.2
let (a, b) be one element of A×C
∴ &space;\epsilon&space;&space;A\times&space;C)
⇒ a Є A and b Є C
⇒ a Є B and b Є D (since, A ⊆ B and C ⊆ D)
⇒ (a, b) Є B×D
Therefore, A ×C ⊆ B × D
Exercise: 1.2
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