Fsc Part 1 Mathematics (Complete Solution)

Q1
For A={1,2,3,4}, find the following relations in a.state the domain and range of each relation.also draw the graph of each.

(i){(x,y) l y=x}

Solution:

a={(x,y) l y=x}

a={(1,1),(2,2),(3,3),(4,4)}

Dom(a)={1,2,3,4}=A

Range(a)={1,2,3,4}=A

(ii) {(x,y) l y+x=5}

SOLUTION:

b={(x,y) l y+x=5}

b={(1,4),(2,3),(3,2),(4,1)}

Dom(b)={1,2,3,4}=A

Range(b)={1,2,3,4}=A

(iii) {(x,y) l x+y < 5}

Solution:

c={(x,y) l x+y < 5}

c={(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)}

Dom(c)={1,2,3}=A

Range(c)={1,2,3}=A

(iv) {(x,y) l x+y>5}

Solution:

d={(x,y) l x+y>5}

d={(2,4),(3,3),(3,4),(4,2),(4,3),(4,4)}

Dom(d)={2,3,4}

Range(d)={2,3,4}

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