Question

K = {x : x is an integer and – 3 < x < 5}

Answer 1

Answer:

K = { –2 , –1 , 0 , 1 , 2 , 3 , 4 }

Note:

★ Set : A well defined collection of distinct objects is called set .

★ There are two ways of representing a set .

1). Set builder form

2). Roster form

★ Set builder form of a set : The common properties of elements (or members) are written.

★ Roster form of a set ; The elements (or members) are already listed .

Solution:

Here,

The given set is ;

K = { x : x is an integer and –3 < x < 5 }

Clearly,

The given set K is in set builder form .

Here,

The integers which lies between –3 and –5 ( excluding –3 and –5 ) are the elements of the given set K .

Thus,

The given set in roster form will be ;

K = { –2 , –1 , 0 , 1 , 2 , 3 , 4 }

Hence,

K = { –2 , –1 , 0 , 1 , 2 , 3 , 4 }

Answer 2

Answer:

K = { –2 , –1 , 0 , 1 , 2 , 3 , 4 }

Step-by-step explanation: