Question

Solve the absolute value inequality: |5x + 3| 13

Answer 1

is there a sign between quantity in mod and 13

Answer 2

was gonna ask the same question

Answer 3

yes sorry its greater than or equal to

Answer 4

\(|5x + 3| \ge 13\)

I usually do this as the next step even though it is not exactly legal:

\(-13 > 5x + 3 > 13\)

Then afterwards, I break that off into two separate equations:

\(5x + 3 > 13 \\ 5x + 3 < -13\)

Answer 5

So that second step is something I kinda do on the side when no one is looking just so I can know which way to place the signs.

Answer 6

yes, when no one is looking...

Answer 7

I knew you were going to say something @satellite73. I know you hate that step.

Answer 8

whatever works for you, just as long as you move on to the next step immediately, and not try to solve
\[-13 > 5x + 3 > 13\] which of course has not solution since \(-13>13\) is patently false

Answer 9

Yes, I am keenly aware of how not to confuse myself when using it.

Answer 10

@Ashely3 did you get your solution....?

Answer 11

so then its x>2 and x>-3.2

Answer 12

i guess x<2

Answer 13

and x> -3.2.....so it's -3.2<x<2

Answer 14

@Ashely3, I hope @satellite73 intrusion didn't confuse you. What I posted is an approach that you can use to keep up with the signs.

5x+3>13
5x+3<−13

This, what I posted above are definitely the way the signs should be.

Answer 15

Satellite has an issue with when I post the equation as a conjuction:

-13>5x + 3 > 13

This is the part that is not legal, however, it is a way to keep with the signs, which is really the most important thing.

Answer 16

x -3.2 or x 2

Answer 17

so is this it

Answer 18

I still don't see your signs. You should use the keyboard. Your keyboard has >< signs believe it or not. At least it is supposed to have them.

Answer 19

x less than or equal to -3.2 or x greater than or equal to 2

Answer 20

Yes, correct

Answer 21

yay