Given that U={x : x is an integer, 2< x < equels to 18)

A = {x : 5 < equals to x < 17}

and P = A's power c, list the elements of the following :

1) A

2) P's power c

3) {Number divisible by 4}

thanks.

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- Oct 20th 2007, 11:35 AMKaleem QureshiQuestion relating to sets
Given that U={x : x is an integer, 2< x < equels to 18)

A = {x : 5 < equals to x < 17}

and P = A's power c, list the elements of the following :

1) A

2) P's power c

3) {Number divisible by 4}

thanks. - Oct 20th 2007, 12:43 PMtopsquark
- Oct 20th 2007, 12:46 PMPlato
Although you post is almost unreadable does it mean;

$\displaystyle U = \left\{ {3,4,5, \cdots ,17,18} \right\},\;A = \left\{ {5,6,7, \cdots 16} \right\},\;P = A^c$?

That is, the universe is the set of integers from 3 to 18; A is the subset from 3 to 16; and P is the complement of A. - Oct 21st 2007, 07:49 AMKaleem Qureshi
Hi guyes,

Yes Plato, you are right here:

Set U = {3,4,5,6,7,8,9,.....18}

Set A = {5,6,7,8,9,..........16}

Set P = P's power c

But problems now is that, what would be the elements of Set P's power c

and if i am not wrong i should take for question-3, ={Number divisible by 4}

from universal set or not ?

So, if I am right then answer to question-3 would be {4,8,12,16}

Thanks for your guidance and support.

- Oct 21st 2007, 07:57 AMtopsquark
- Oct 21st 2007, 08:05 AMKaleem Qureshi
hello,

yes, that is the problem i am also facing, i this question there is no value given for 'c'. What we know here, is that P= Set A, but what about the power of A means 'c', what to do about it.

This needs your consideration, I am stuck. - Oct 21st 2007, 08:30 AMPlato
- Oct 24th 2007, 03:04 AMcu4mail
http://www.mathhelpforum.com/math-he...e2d27053-1.gif

But we have to find the compliment of P which should be values in universal table not present in compliment of A. Am I right?

can u pleae help me how to write the math funcitons in forum? - Oct 24th 2007, 05:22 AMPlato
You are given that $\displaystyle P = A^c$.

So $\displaystyle P^c = \left( {A^c } \right)^c = A$