Question

consider the above set A. Insert the appropriate symbol E of E/ in each of the following blank spaces (a) -3...A (b) 9...A (c) 0...A (d) 7...A​

Answer 1

SOLUTION

CORRECT QUESTION

A = { x : x is an integer and - 3 ≤ x < 7 }

Consider the above set A. Insert the appropriate symbol $\in \: or \: \notin$

in each of the following blank spaces

(a) -3...A (b) 9...A (c) 0...A (d) 7...A

CONCEPT TO BE IMPLEMENTED

SET : A set is a well defined collection of distinct objects

PROPERTY :

If x in an element of the set A then we write

$\sf{x \: \in \: A}$

If x in not an element of the set A then we write

$\sf{x \: \notin \: A}$

EVALUATION

Here it is given that

A = { x : x is an integer and - 3 ≤ x < 7 }

So A = { - 3, - 2, - 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 }

(a) Since - 3 is an element of A so

$\sf{ - 3\: \in \: A}$

(b) Since 9 is not an element of A so

$\sf{9 \: \notin \: A}$

(c) Since 0 is an element of A so

$\sf{0 \: \in \: A}$

(d) Since 7 is not an element of A so

$\sf{7 \: \notin \: A}$

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