Question

. (i) Write A = {x : x is an integer and −3 ≤ x < 7 } in roster form

(ii) Consider the above set A. Insert the appropriate symbol ∈ or ∈/ in

each of the following blank spaces.

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

Answer 1

Answer:

answer Is a 7 [D] crroct

Answer 2

SOLUTION

TO DETERMINE

(i) Write A = {x :x is an integer and −3 ≤ x < 7} in roster form

(ii) Consider the above set A. Insert the appropriate symbol $\sf{ \in \: \:o r \: \: \notin }$ each of the following blank spaces.

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

EVALUATION

(i) Here the given set is

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

Now the integers in the given range are

-3, -2, - 1, 0, 1, 2, 3, 4, 5, 6

So the set in Roster form is

$\sf{A = \{-3, -2, - 1, 0, 1, 2, 3, 4, 5, 6 \} }$

(ii) Here the given set is

$\sf{A = \{-3, -2, - 1, 0, 1, 2, 3, 4, 5, 6 \} }$

(a) Since - 3 is an element of the set A

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

(b) Since 9 is not an element of the set A

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

(c) Since 0 is an element of the set A

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

(d) Since 7 is not an element of the set A

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

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If A is an empty set and B is set of vowels,

then A∩B is 

https://brainly.in/question/24041704