SOLUTION: Please help me solve this question: List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8; (b) the set S = {x | x2 + 4x

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Question 1208073: Please help me solve this question: List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8; (b) the set S = {x | x2 + 4x − 5=0}; (c) the set of outcomes when a coin is tossed until a tail or three heads appear; (d) the set S = {x | x is a continent}; (e) the set S = {x | 2x − 4 ≥ 0 and x < 1}.
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Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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Please help me solve this question:
List the elements of each of the following sample spaces:
(a) the set of integers between 1 and 50 divisible by 8;
(b) the set S = {x | x2 + 4x − 5=0};
(c) the set of outcomes when a coin is tossed until a tail or three heads appear;
(d) the set S = {x | x is a continent};
(e) the set S = {x | 2x − 4 ≥ 0 and x < 1}.
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        As I see from your post,  you have serious problem with the language.

        This phrase/wording  " solve this question "  is not used neither in  English nor in any other human language on the Earth,
        because these words  " solve "  and  " question "  are never used in such combination.

        Only mafia  (in numerous videos)  uses such a jargon.

        If you want your writing to look decent,  don't use this jargon  " solve question ".


(a)  8, 16, . . .  continue to add 8 to the previous number to get the next number until you get more than 50.



(b)  Solve quadratic equation  x^2 + 4x - 5 = 0 to find its roots.

     The simplest way is to factor  (x+5)*(x-1) = 0;  the roots are -5 and 1.

     So, the set  S  is  {-5,1}.



(c)  The set of outcomes is  { T, HT, HHT, HHH }.   

     Here T denote outcome "tail"; H denote outcome "head".

     It is enough to think 1.5 minutes to get it.



(d)  This question relates to Geography.



(e)  This set of x is empty, since if  x < 1,  then  2x-4 < 2*1 - 4 = -2  and can not be greater than or equal to 0 (zero).

Solved.



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