Question

How do I solve this? Just show me your steps please. Don't try to explain it because I won't get it. I understand better by seeing steps.
|3c-6|≥3

Answer 1

if it was:

|x| = 3, how would you solve it?

Answer 2

x=-3 or x=3 right? @amistre64

Answer 3

correct, now the same concept applies,

3c-6 = 3 or 3c-6 = -3; what is c?

Answer 4

c=3 or c=1? @amistre64

Answer 5

3c= 9 or 3

c = 3 or 1 ... very good, now we just have a direction thing to worry about

any ideas on how to adjust for that?

Answer 6

No idea. remember it is ≥ @amistre64

Answer 7

right, now we should know that say: |-4| > 3

so all values to the left of 1, and all values to the right of 3 should adjust for it.

Answer 8

a number line is a good visual if you need more thought to it :)

Answer 9

This is where I get lost... I'm not sure what to do and when i should use a greater than or equal to sign or a less than or equal to sign. @amistre64

Answer 10

<----|------|----->
1 3

compare values that are clearly in a partition

0 2 5
<----|------|----->
1 3

if the value makes a true statement, the partition is true

|3*0-6| >=3 is true
|3*2-6| >=3 is false
|3*5-6| >=3 is true


T F T
<----|------|----->
1 3

Answer 11

the partitions define the values that will either make a true or false statement, so we can simply try a value and test it out to confirm of a partition is good or bad for us