Question

write set A ={x:3x+5<23,x€N}in roaster form​

Answer 1

$\underline{ \pink{ Set \: builder \: form \: of \: set \: A :}}$

$A = \{ x : 3x + 5 \lt23 , x \in N \}$

$i) If \: x = 1 \: \implies 3x + 5 \\= 3\times 1 + 5 \\= 3 + 5\\= 8 \lt 23 \: ( True )$

$ii) If \: x = 2 \: \implies 3x + 5 \\= 3\times 2 + 5 \\= 6 + 5\\= 11 \lt 23 \: ( True )$

$iii) If \: x = 3 \: \implies 3x + 5 \\= 3\times 3 + 5 \\= 9 + 5\\= 14 \lt 23 \: ( True )$

$iv) If \: x = 4 \: \implies 3x + 5 \\= 3\times 4 + 5 \\= 12 + 5\\= 17 \lt 23 \: ( True )$

$v) If \: x = 5 \: \implies 3x + 5 \\= 3\times 5 + 5 \\= 15 + 5\\= 20 \lt 23 \: ( True )$

$vi) If \: x = 6 \: \implies 3x + 5 \\= 3\times 6 + 5 \\= 18 + 5\\= 23 \lt 23 \: \red{( False ) }$

Therefore.,

$\underline{ \green{ Roster \: form \: of \: set \: A :}}$

$\blue { A = \{ 8,11,14,17,20 \} }$

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Answer 2

Step-by-step explanation:

Refer to the attachment ...................................