Question

what is the solution of |3x-3|_<18

Answer 1

is that less than or equal or just less than?

Answer 2

less than or equal to

Answer 3

\(\Large \rm\color{midnightblue}{|3x-3|\leq18\\-18\leq3x-3\leq18}\)

Answer 4

solve for x

Answer 5

i dont know how to solve

Answer 6

well add 3 to all sides of the inequality

Answer 7

\(\Large \rm\color{midnightblue}{-18+\color{magenta}{3}\leq3x-3+\color{magenta}{3}\leq18+\color{magenta}{3}}\)

Answer 8

-3+3 is what?

Answer 9

0?

Answer 10

yes! that mean in the middle we are left with only 3x

Answer 11

-18+3?
18+3?

Answer 12

-15 & 21

Answer 13

correct!

Answer 14

\(\Large \rm\color{midnightblue}{-15\leq3x\leq21}\)
now devide all the sides by 3

Answer 15

can you do that?

Answer 16

got my answer thank you so much for your help!

Answer 17

Okay, you are welcome!

Answer 18

what is the answer in the interval notation and the the set notation?