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Solve the inequality \(-4(x+4)>x+7\). Give your answer as an interval.

Hint: The answer is not x<(-23)/5

 Nov 8, 2022
 #1
avatar+74 
+2

\(-4(x+4)>x+7\)

\(-4x-16>x+7\)

\(-23>5x\)

\(x<\frac{-23}{5}\)

 

Why wouldn't it be x<-23/5? 

Maybe it might prefer

\((-​​∞, -\frac{23}{5})\)

As an interval? 

 Nov 8, 2022
 #2
avatar+312 
+2

I entered that in exactly as I put it in my question and it was incorrect. For some reason it shows up as (−∞,)(−23)/5 instead of putting the whole thing as an interval... how do I fix that??

Keihaku  Nov 8, 2022
edited by Keihaku  Nov 8, 2022
 #3
avatar+74 
+2

That's extremely strange

 

Are you sure you have the question correct? 
(Maybe missing a minus sign or or something)

 

I just check with a math calculator and x<-23/5 is correct :\

AutumnStorm  Nov 8, 2022
 #4
avatar+312 
+1

I got the same answer and I don't understand but thanks for trying to help

Keihaku  Nov 8, 2022
 #5
avatar+74 
+2

Good luck :]

AutumnStorm  Nov 8, 2022
 #6
avatar+312 
+1

I just can't put the whole thing in an interval and it's not working.. I'll try to figure it out. If you have any tips, let me know but thanks.

Keihaku  Nov 8, 2022
edited by Keihaku  Nov 8, 2022
 #7
avatar+312 
+1

Ok, I guess it's not correct so does anyone else have a potential answer?? Thanks!

Keihaku  Nov 8, 2022
 #8
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0

The answer is actually x < -27/5.

 Nov 8, 2022
 #9
avatar+312 
+1

I'm sorry, but that was also incorrect

Keihaku  Nov 8, 2022

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