Question

Write the following set in roster form.
{x | x = 4x -2, x ∈ w, x < 6 }

Answer 1

Answer:

B={25,36,49,....}

your answer

Answer 2

Given,

$\[\left\{ {x|x = 4x - 2,x \in w,x < 6} \right\}\]$

Solution,

Write set in roster form.

know that whole numbers are 1, 2, 3------.

$\[\begin{array}{l}at\,x = 1,\\ = 4x - 2\\ = 4 \times 1 - 2\\ = 2\end{array}\]$

$\[\begin{array}{l}at\,x = 2,\\ = 4x - 2\\ = 4 \times 2 - 2\\ = 6\end{array}\]$

$\[\begin{array}{l}at\,x = 3,\\ = 4x - 2\\ = 4 \times 3 - 2\\ = 10\end{array}\]$

$\[\begin{array}{l}at\,x = 4,\\ = 4x - 2\\ = 4 \times 4 - 2\\ = 14\end{array}\]$

$\[\begin{array}{l}at\,x = 5,\\ = 4x - 2\\ = 4 \times 5 - 2\\ = 18\end{array}\]$

Roster form,

$\[x = \left\{ {2,6,10,14,18} \right\}\]$

Hence the roster form is $\[x = \left\{ {2,6,10,14,18} \right\}\]$.