find the solution set of 12+6y>0 if y is a negative integer
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Answer :
{ -1 }
Note :
★ Set : A well defined collection of distinct objects is called a set .
★ Cardinal number / Cardinality : The number of elements/members/objects in a finite set is called cardinal no. / Cardinality .
→ Cardinal no. of a finite set A is denoted by n(A) .
★ Method of representing a set :
a). Roster / Tabular / Listed form
b). Set Builder form
★ Roster form :
→ All elements are listed .
→ Elements are separated by commas .
→ Elements are enclosed within braces { } .
→ The order of writing elements doesn't matter .
→ The elements are not repeated
Solution :
- Given : 12 + 6y > 0
- To find : Solution set = ?
We have ;
=> 12 + 6y > 0
=> 6y > -12
=> y > -12/6
=> y > -2
We know that ,
The negative integer greater than -2 is -1 .
Thus ,
y = -1
ie. y € { -1 }
Hence ,
Required set is { -1 } .
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