Question

Part 1: Solve |4x-11| < 5. You must show all work.

Part 2: Use complete sentences to describe the graph in words.
ok so I got x<4 and x>-15 but I'm not sure if its right, and how do i graph it?

Answer 1

have you tried?

Answer 2

The graph? not yet, are the solutions correct? do you need two solutions?

Answer 3

Am I on the right track at least?

Answer 4

only one of the solutions is right.

Answer 5

x<4 right?

Answer 6

So for this type of question, I don't need two solutions? Why is that?

Answer 7

you can solve in one line rather than two

Answer 8

\[|4x-11|<5\iff -5<4x-11<5\]

Answer 9

add 11 all the way across,
then divide all by 4

Answer 10

you need 2 solutions.
Isolate each case.

Answer 11

-5<4x-11<5 --> x<4
how do i find the other solution correctly?

Answer 12

ok so for the 2nd solution i do 4x+11<5 right?

Answer 13

add 11, divide by 4, just like on the other side

Answer 14

\[-5<4x-11<5\]
\[6<4x<16\]
\[\frac{3}{2}<x<4\]

Answer 15

oh, haha ok now i get it, lol it was right in front of my face. Thats cool! Thank you!

Answer 16

if you need steps they are
\[-5<4x-11<5\]
\[-5+11<4x-11+11<5+11\]
\[6<4x<16\]

Answer 17

got it ?

Answer 18

ok good!

Answer 19

Thank you so much!! :)

Answer 20

@satellite73 I wouldn't have expected you to give out the answer

Answer 21

yw

Answer 22

someone asks, i usually answer

Answer 23

I mean, I understand it- I origionally had the correct format I just stupidly subtracted wrong, and put the wrong sign which gave me the wrong answer. @satellite73 gave me a better, clearer format, not necessarily the answer. :)

Answer 24

Thanks again for all your help!

Answer 25

I really don't care.
I just don't know why I get flagged for giving answers then if an Admin does it.

Answer 26

originally* oh i didn't know you could get flagged for that.

Answer 27

I've been flagged multiple times and reported for giving answers to people who need it.
So, yeah. Not cool.