Five mark exercise problems IV — task. Mathematics State Board, Class 10.

PDF chapter test TRY NOW

Let

$A = \{x \in \mathbb{W}|x < 2\}$ ,

$B = \{x \in \mathbb{N}|1 < x \leq 4\}$ and

$C = \{3,5\}$ . Then verify that

$A \times (B \cup C) = (A \times B) \cup (A \times C)$

Answer:

To prove:

$A \times (B \cup C) = (A \times B) \cup (A \times C)$

Explanation:

$B \cup C =$

$\{$

$\}$

$A \times (B \cup C) =$

$\{$

$\}$

$A \times B = \{$

$\}$

$A \times C = \{$

$\}$

$(A \times B) \cup (A \times C) = \{$

$\}$

As a result,

$A \times (B \cup C) = (A \times B) \cup (A \times C)$

Hence, we proved.

[Note: Enter the first and the second coordinates of the ordered pairs in the increasing order.]

Did you find an error?

15. Five mark exercise problems IV