Question

Express the set A{1,4,7,10,13,16,19} in set builder form

Answer 1

The set builder form of given set is A={x|x=1+3n, 0≤n≤6}[/tex].

Step-by-step explanation:

The given set is

$A=\{1,4,7,10,13,16,19\}$

We need to find the set builder form of given expression.

The elements of given set are

1,4,7,10,13,16,19

The common difference is 3 and first term is 1.

$1=1+3(0)$

$4=1+3(1)$

$7=1+3(2)$

All elements of set are defined by the equation x=1+3n where 0≤n≤6.

So, the set builder form of given set is

$A=\{x|x=1+3n, 0\leq n\leq 6\}$

#Learn more

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