Question

what is the solution set of the inequality |12-3x| greater than or equal to 21

Answer 1

The solution is,
\[x∈(−∞,−3]∪[11,∞)\]
Split it in two,
For x<4
\[-12+3x\geq 21\]
For x>4
\[12-3x\geq 21\]
And solve it simultaneosly,

Answer 2

You will find that,
\[x\geq 33/3\Rightarrow x\geq 11\]\[-3x\geq 9\Rightarrow x\leq -3\]

Answer 3

I was wrong in the first post I deleted, the solution was easy. I hope it helps.

Answer 4

thanks

Answer 5

You're welcome.