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Mathematics 16 Online
OpenStudy (anonymous):

9+8<-3 and -2q < 28 what is the solution set of the inequality

OpenStudy (anonymous):

null

OpenStudy (anonymous):

what

OpenStudy (anonymous):

i suck at math

OpenStudy (anonymous):

how can 17<-3

OpenStudy (anonymous):

thus it must be a null set

OpenStudy (anonymous):

what's a null set

OpenStudy (anonymous):

it doesn't include any element ucan consider it a dustbin

OpenStudy (anonymous):

A. {} B. { q:-11<q and q>-14} C. {q:q<-14} D. {q:-14<q<-11} E. None of these

OpenStudy (anonymous):

thats the answer choices

OpenStudy (anonymous):

a

OpenStudy (amistre64):

is your question posted correctly? or did you make a typo?

OpenStudy (anonymous):

it's posted correct y

OpenStudy (amistre64):

ok, then when is: 9+8 < -3 ?

OpenStudy (anonymous):

thats why i said it is anull set

OpenStudy (amistre64):

you saying what the answer is, and the asker being able to work it out in their own understanding are 2 different things.

OpenStudy (anonymous):

so how can i figure it out

OpenStudy (amistre64):

by determining when the given statements are true. one of the given statements is: 9+8 < -3 can this be true?

OpenStudy (anonymous):

i know the answer is not A. But it's true

OpenStudy (amistre64):

hmm, can you tell me why you believe the answer is not A ?

OpenStudy (anonymous):

since 9+8<-3 is never less possible we cant get a solution of this equation thus the answer is a null set which means that no solution exists and is represnted by {} or \[\emptyset \]

OpenStudy (amistre64):

you can think of the brackets as representing a container; a box that holds all the possible answers. option A is simply telling us that the box is empty and that there are no solutions available.

OpenStudy (amistre64):

if you have not made a typo in posting the question, and since +8 < -3 is never true; there are no solutions that we can put in the box; and it remains empty.

OpenStudy (amistre64):

... 9+8 that is :)

OpenStudy (anonymous):

i don't know then this is what my extra credit says

OpenStudy (anonymous):

17

OpenStudy (amistre64):

17 is never less than -3. 9+8<-3 AND -2q < 28 fasle true ; since one of the parts is always false then the statement as a whole is false and there are no solutions that can make it true.

OpenStudy (amistre64):

therefore, the empty set should be the correct choice for an enswer

OpenStudy (anonymous):

it's D

OpenStudy (amistre64):

if its D, then there has to be a typo error in the question itself.

OpenStudy (amistre64):

good luck tho ;)

OpenStudy (anonymous):

okay

OpenStudy (amistre64):

if it has been q+8<-3 ; then we could have gotten q < -11 so check to make sure that "9" wasnt meant to be a "q" instead

OpenStudy (anonymous):

-7<4k+5<33

OpenStudy (anonymous):

great work @amistre64

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