Question

please answer to this question.​

Answer 1

Answer:

(i) A = {7,8} and B = {2,4,5}

so, A×B = {(7,2),(7,4),(7,5),(8,2),(8,4),(8,5)}

(ii) R = {(x,y): y = x+1} , x€{0,1,2,3,4,5,6}

put all the values of x one by one and find y related to x

so we will get

R = {(0,1),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} is the relation R

and domain will all the elements of x i.e,

Domain of R = {0,1,2,3,4,5,6}

and rangle is the all the values of y related to x i.e,

Range of R = {1,2,3,4,5,6,7}

(iii) P = {-1,1} =>(1)

P×P = {(-1,-1),(-1,1),(1,-1),(1,1)} =>(2)

so, form (1) and (2) ,

P×P×P = {(-1,-1,-1),(-1,-1,1),(-1,1,-1),(-1,1,1),(1,-1,-1),(1,-1,1),(1,1,-1),(1,1,1)}