Question

Exercise -2.2
ifa= [1,2,3,4];b=[1,2,3,4,5,6]then find a intersection b and b intersection a . are they equal?

Answer 1

$\huge{\underline{\bf\red{Questi {\mathbb{O}} n} :}}$

$\sf If \: a = \{1,2,3,4\} \: and \: b = \{1,2,3,4,5,6\}, \\ \sf then \: find \: a \cap b \: and \: b \cap a. \: Are \: they \: equal \: ?$

$\huge{\underline{\: \bf\green{Answ {\mathbb{E}} r}\ \: :}}$

• $\blue{\underline{\bf\green{\quad Yes \quad}}}$, they are equal.

$\Large{\underline{\bf\purple{Giv {\mathbb{E}} n}\ :}}$

• $\sf a = \{1,2,3,4\}$
• $\sf b = \{1,2,3,4,5,6\}$

$\Large{\underline{\bf\purple{To \ Fi {\mathbb{N}} d}\ :}}$

• $\sf a \cap b$
• $\sf b \cap a$

$\huge{\underline{\bf\blue{Soluti {\mathbb{O}} n}\ :}}$

Any intersection between two sets means what's common between the two sets.

From the two sets a and b , the elements 1, 2, 3 and 4 are common in both.

$\huge \mathbb{HENCE ,}$

• $\sf a \cap b = \{1,2,3,4\}$
• $\sf b \cap a = \{1,2,3,4\}$

And we can see that both the intersections have the same elements.

Thus, the two intersections are equal !

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$