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Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

O
{5}
{1, 2, 3, 5, 7, 8, 11, 14}

Respuesta :

gmany

Answer:

{5}

Step-by-step explanation:

[tex]A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}[/tex]

Answer:

Option 2 -  [tex]A\cap B=\{5\}[/tex]

Step-by-step explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find : [tex]A\cap B[/tex] ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So, [tex]A\cap B=\{5\}[/tex]

Therefore, Option 2 is correct.

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