Question

1. Write the following sets in rost
form :
(1) A, = {x: 2x + 3 = 11}
(ii) A = {x : x2 - 4x - 5 = 0}
A Sy.- 7

Answer 1

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Answer 2

Step-by-step explanation:

Given that:-

(i) A = {x : 2x + 3 = 11}

2x+3=11

=>2x=11-3

=>2x=8

=>x=4

Roster form of A={4}

(ii). A = {x : x2 - 4x - 5 = 0}

x²-4x-5=0

=>x²+x-5x-5=0

=>x(x+1)-5(x+1)=0

=>(x+1)(x-5)=0

=>x+1=0=>x=-1

x-5=0=>x=5

Roster form of Az={-1,5}

iii) Az = {x : Xe Z, -3 <x<4}

Roster form of Az={-2,-1,0,1,2,3}

iv) A4 = {x : x is a two digit number and sumof the digits of x is 7}

Roster form of A4={16,25,34,43,52,61,70}

(v) Ag = {x : X = 4n, ne W and ņ < 4}

x=4n

if n=0,x=4(0)=0

if n=1,x=4(1)=4

if n=2,x=4(2)=8

if n=3,x=4(3)=12

Roster form of Ag={0,4,8,12}

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