Question

write the set builder form of A={2,3,5,7,11,13}
B={4,6,8,10,12}​

Answer 1

Given,

$\[\begin{array}{l}A = \left\{ {2,3,5,7,11,13} \right\}\\B = \left\{ {4,6,8,10,12} \right\}\end{array}\]$

Solution,

Write the set builder form.

$\[A = \left\{ {2,3,5,7,11,13} \right\}\]$

Set builder form,

$\[A = \left\{ {x:x\,{\rm{is}}\,{\rm{a}}\,{\rm{prime}}\,{\rm{number}},x < 14} \right\}\]$

$\[B = \left\{ {4,6,8,10,12} \right\}\]$

Set builder form,

$\[B = \left\{ {x:x\,{\rm{is}}\,{\rm{a}}\,{\rm{even}}\,{\rm{number}},4 \le x \le 12} \right\}\]$

Answer 2

Answer:

A={2,3,5,7,11,13}

B={4,6,8,10,12}

Solution,

Write the set builder form.

A = \left\{ {2,3,5,7,11,13} \right\}A={2,3,5,7,11,13}

Set builder form,

A = \left\{ {x:x\,{\rm{is}}\,{\rm{a}}\,{\rm{prime}}\,{\rm{number}},x < 14} \right\}A={x:xisaprimenumber,x<14}

B = \left\{ {4,6,8,10,12} \right\}B={4,6,8,10,12}

Set builder form,

B = \left\{ {x:x\,{\rm{is}}\,{\rm{a}}\,{\rm{even}}\,{\rm{number}},4 \le x \le 12} \right\}B={x:xisaevennumber,4≤x≤12

Step-by-step explanation:

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