Question

What is the solution set for |3x – 24| less than or equal to 27?

Answer 1

\[\left[ -3,21 \right]\]

Answer 2

these are my choices
x greater than or equal to 1 or x less than or equal to 17

x less than or equal to –1 and x greater than or equal to 17

x less than or equal to 17 or x less than or equal to –17

x greater than or equal to –1 and x less than or equal to 17

Answer 3

\[\left| 3x-24 \right|\le27\]
\[-27\le3x-24\le27\]
add 24 to both sides
\[-3\le3x\le51\]
divide by 3 to both sides
\[-1\le x \le17\]
this means all numbers from -1 to 17

Answer 4

or x is greater than or equal to -1
and 17 is greater than or equal to x