Question

3|2x -5 | > 21

Answer 1

I got 2.6 but it said it was incorrect

Answer 2

3|2x -5 | > 21 -->
|2x -5 | > 7 -->
Equation 1:2x -5 > 7
Equation 2:2x -5 < -7

Answer 3

you double divide both sides by 3

3|2x - 5| > 21
------------
3 3

|2x - 5| > 7

now you have 2 equations

2x - 5 > 7
2x - 5 < -7

Answer 4

Equation 1:2x > 12
Equation 2:2x < -2

Answer 5

This one will go no better than the last. Please post YOUR work.

@FutureMathProfessor please stop doing peoples' homework for them.

Answer 6

Equation 1:x > 6
Equation 2:x < -1

Answer 7

@jazzyfa30 how in the world did you get 2.6?

Answer 8

I did this
3|2x -5 | > 21
3*2x+5>21
6x+5>21
-5 -5
6x>16
6
x=2.6

Answer 9

Ahh...no this is an absolute value sign...not a form of parenthesis...you do not multiply into them

Answer 10

Also missed the distributive property. @jazzyfa30 Are you sure you are prepared for this course?

Answer 11

i know that i thought i was still suppose to multiply
and i don't like the criticism thank you

Answer 12

nope not with absolute values

so we have

3|2x - 5| > 21

you want to first get the absolute value all alone....that's why we divide both sides by 3

it leaves us with

|2x - 5| > 7

now as we know absolute value changes negative numbers to positive...we can set up 2 equations

2x - 5 > 7
and
2x - 5 < -7

because the | -7 | is still 7 right?

so now we can solve for x in both those equations

Answer 13

okay i understand know but still confused on the answer
i'm trying to figure it out but i think it is 6

Answer 14

That is the answer for 1 equation

2x - 5 > 7
+5 +5
2x > 12
-------
2 2

x > 6 is 1 answer...but there is another...now you must solve for 'x' in the other equation

2x - 5 < -7

Answer 15

3|2x -5 | > 21 --> |2x -5 | > 7 --> Equation 1:2x -5 > 7 Equation 2:2x -5 < -7
Equation 1:2x > 12 Equation 2:2x < -2
Equation 1:x > 6 Equation 2:x < -1

Answer 16

and -6 i think that's what your talking about

Answer 17

6 and -1 are your answers

Answer 18

x > 6,x < -1

Answer 19

Just try to remember that with absolute values...there are going to be more than 1 answer....as @FutureMathProfessor has shown...there are 2 answers for x

x > 6
and
x < -1

Answer 20

okay @FutureMathProfessor please stop doing the work it doesn't help me any it just confuses me but thanks for the help