Question

Which is a subset of {1, 2, 4, 5, 6}?

{0, 1, 2}
{3, 4}
{5, 6, 7}
{2, 6}

Answer 1

{2,6} because they are both in the first set

Answer 2

{2,6} is a subset of set {1, 2, 4, 5, 6} which is correct option (D).

What is a set?

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

What is a Subset?

A subset is defined as part of a given set subset (another set or the same set). The set notation to represent a set A as a subset of set B is written as A ⊆ B.

Given set as :

{1, 2, 4, 5, 6}

There are 2⁵ = 32 subsets

(which you know because there are 5 numbers in the set).

{},{1},{2},,{ 4},{ 5},{ 6},

{1,2},{1, 4},{1, 5},{1, 6}

{2, 4},{2, 5},{2, 6},

{ 4, 5},{ 4, 6},{ 5, 6},

,{1,2, 4},{1,2, 5},{1,2, 6}

,{1, 4, 5},{1, 4, 6},{1, 5, 6}

,{2, 4, 5},{2, 4, 6},{2, 5, 6}

,{ 4, 5, 6} {1,2, 4, 5, 6},

{1, 2, 4, 5, 6}

So, {2,6}  is a subset of {1, 2, 4, 5, 6}

Thus they are both included in the set.

Hence,  {2,6}  is a subset of set {1, 2, 4, 5, 6}.

Learn more about Subset here:

https://brainly.com/question/23454979

#SPJ2