Question

Rewrite the set T = { 5a + 2b; a,b belong Z} as a list of its elements

Answer 1

T={...,-3,-2,-1,0,1,2,3,4,....}

Explanation:

We are given that T={5a+2b; a,b belongs Z}

We have to rewrite the given set T as a list of its elements

Substitute a=0 and b=0

Then we get 5(0)+2(0)=0

Substitute a=-1 and b=2 then we get

5(-1)+2(2)=-1

Substitute a=2 and b=0

Then , 5(2)+2(0)=10

If a=0 and b=1

Then, 5(0)+2(1)=2

Substitute a=0 and b=2

Then, 5(0)+2(2)=4

If substitute a=1 and b=1

5(1)+2(1)=7

If substitute a=-1 and b=3

Then, we get 5(-1)+2(3)=1

Then, T={...,-3,-2,-1,0,1,2,3,4,....}