Question

|k/3+2| < or equal to 2

Answer 1

You'll have two sets of inequalities here:
-(k/3+2)<=2 and k/3+2<=2
Know why?

Answer 2

its some rule I know for sure teacher thought it but some one told me to subtract two from each side if im right

Answer 3

First, know how I split the first expression into two?

Answer 4

yup

Answer 5

Good. Now, the target is to have x on one side of the inequality signs.
I'll do the first: -(k/3+2)<=2

Answer 6

Multiply the -ve into the brackets: -k/3-2<=2

Answer 7

Now add 2 to both sides. -k/3<=4

Answer 8

Then comes the part where people make mistakes: Multiply both sides by -3. NOTE: When you multiply or divide both sides by a negative, the INEQUALITY CHANGES DIRECTION: k>=-12

Answer 9

Understand?

Answer 10

mhm thanks

Answer 11

you're welcome

Answer 12

i still have one more question if you dont mind