Question

write a rule for the following
1.Z={a, b, c, d ...z}
2.V={4, 8, 12 ...,96}
​

Answer 1

Answer:

1 abcdefghijklmnopqrstuvwxyz

Answer 2

Given,

Z={a,b,c,d------z}

V={4,8,12,-----96}

Solution,

Know that both the set builder form and roaster form are interchangeable.

So,Z={a,b,c,d------z} in the set-builder form is

$\[ \Rightarrow Z = \left\{ {x:x\,{\rm{is}}\,{\rm{an}}\,{\rm{alphabet}},x \in {\rm{All}}\,{\rm{Alphabets}}} \right\}\]$

So, V={4,8,12,-----96}in the set-builder form is

$\[ \Rightarrow V = \left\{ {x:x = 4n,1 < n < 28} \right\}\]$

Hence, the rule of Z and V are $\[Z = \left\{ {x:x\,{\rm{is}}\,{\rm{an}}\,{\rm{alphabet}},x \in {\rm{All}}\,{\rm{Alphabets}}} \right\}\]$and$\[V = \left\{ {x:x = 4n,1 < n < 28} \right\}\]$