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Mathematics 23 Online
OpenStudy (anonymous):

can you please check if i am correct?

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

@Elsa213

OpenStudy (mathmate):

#1, 2 are correct. #3 hint: -x<4 is the same as x>-4 (i.e. the direction of inequality is reversed when you negate an inequality) #4 "or" means either one works, so the two part-answers are additive #5 is correct #6 work out the two cases 2x+4>14 and -2x-4>14 then take intersection of the two results, i.e. the part of the result that satisfies both cases. #7 draw on number line each option and figure out the right answer, which should be equivalent to -40<F<257 #8 is correct.

OpenStudy (anonymous):

thanks! @mathmate

OpenStudy (mathmate):

you're welcome! :)

OpenStudy (anonymous):

@mathmate for 3 it would be D right? and can you help me figure out 7 please?

OpenStudy (anonymous):

and let me rephrase that. for 3 it would be A right? @mathmate

OpenStudy (mathmate):

#3 3<x<6 is correct. Please state the values when checking the answer, instead of the letters. For #7, recognize that 5/9(F-32) is the same temperature in Celsius. Also, all options have two separate inequalities, so you need the equivalent of -40<F, or -40<C, for the lower limit, and F<257 or C<125 for the upper limit. So check out each option to see which one has both conditions.

OpenStudy (anonymous):

@mathmate 3<x<6 would be A am i correct?

OpenStudy (mathmate):

For #3, 3<x<6 would be correct. I will leave that to you to find the options! Remember that an empty dot refers to strict inequality, and a solid dot refers to >= or <=.

OpenStudy (anonymous):

@mathmate thanks

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (michele_laino):

-40 F= -40 C furthermore: 125 °C= 257 °F I have used this formula: \[F = \frac{9}{5}C + 32\]

OpenStudy (anonymous):

@Michele_Laino can you help me figure the ones that are not correct out please?

OpenStudy (michele_laino):

it is simple, you have to compute how many Fahrenheit degrees are these temperatures -40 C and 125 C

OpenStudy (anonymous):

-40 C = -40 F 125 C = 257 F what would i do next ?

OpenStudy (anonymous):

@Michele_Laino i know its either A or B now

OpenStudy (michele_laino):

It is option B)

OpenStudy (anonymous):

thankss!! can you help me out with #3?

OpenStudy (michele_laino):

here we have to solve this inequality: \[ - 13 > - 5x + 2 > - 28\]

OpenStudy (michele_laino):

actually, they are two inequalities

OpenStudy (anonymous):

what would they be? @Michele_Laino

OpenStudy (michele_laino):

the first inequality is: \[ - 13 > - 5x + 2\] whereas the second one is: \[ - 5x + 2 > - 28\] please solve them

OpenStudy (anonymous):

first: X>3 second: X<6 correct? @Michele_Laino

OpenStudy (michele_laino):

yes! correct!

OpenStudy (anonymous):

@Michele_Laino I'm thinking a what do you think?

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (anonymous):

@mathstudent55

OpenStudy (michele_laino):

yes! correct!

OpenStudy (anonymous):

THANK YOUUU! look. i know I'm really annoying and everything but can you please help me with 4? @Michele_Laino

OpenStudy (michele_laino):

here, you have to solve these inequalities: \[\Large \begin{gathered} 4p + 1 > - 7 \hfill \\ 6p + 3 < 33 \hfill \\ \end{gathered} \] what do you get?

OpenStudy (anonymous):

P>-2 P<5 @Michele_laino

OpenStudy (michele_laino):

so, what is the right option?

OpenStudy (anonymous):

@Michele_Laino i don't know. the person up there said it wasn't A so i don't know

OpenStudy (michele_laino):

I think it is A

OpenStudy (anonymous):

can you teach me find the 2 inequalities so that i can solve 6 please? @Michele_Laino

OpenStudy (michele_laino):

the proposed inequlity is equivalent to these two systems of inequalities: \[\Large \left\{ \begin{gathered} 2x + 4 < 14 \hfill \\ 2x + 4 \geqslant 0 \hfill \\ \end{gathered} \right. \cup \left\{ {\begin{array}{*{20}{c}} { - 2x - 4 < 14} \\ {2x + 4 < 0} \end{array}} \right.\] please solve them

OpenStudy (anonymous):

for both them is (-2,5) (-9,2) @Michele_Laino right?

OpenStudy (michele_laino):

the first inequality gives x>-9 and the second one gives x<-2, so the intersection is: (-9,-2)

OpenStudy (michele_laino):

the first solution is correct!

OpenStudy (michele_laino):

more precisely the first solution, is: [-2,5)

OpenStudy (anonymous):

quick question though. theres a point on a -5 on the number line and you got a -2.... is it supposed to be like that? @Michele_Laino

OpenStudy (michele_laino):

I don't understand, please specify more

OpenStudy (anonymous):

never mind i am seeing double from not sleeping my bad sorry haha @Michele_Laino

OpenStudy (michele_laino):

ok! :)

OpenStudy (anonymous):

@t.ashleyxx

OpenStudy (anonymous):

@HelloKitty17

OpenStudy (anonymous):

What would seem to be the problem?

OpenStudy (anonymous):

let me update this. because i fixed some questions. @t.ashleyxx

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