# SOLUTION: what is the solution set for absolute |3x+6} &#8806; 30?

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 Algebra: Absolute value Solvers Lessons Answers archive Quiz In Depth

 Question 596469: what is the solution set for absolute |3x+6} ≦ 30?Answer by Edwin McCravy(9716)   (Show Source): You can put this solution on YOUR website!```|3x+6| ≦ 30 Re-write as -30 ≦ 3x+6 ≦ 30 Solve for x in the middle: -30 ≦ 3x+6 ≦ 30 -6 -6 -6 ---------------- -36 ≦ 3x ≦ 24 ≦ ≦ -12 ≦ x ≦ 8 -------⚫===========⚫------- -12 8 [-12,8] ------------------------------------ Here'a how you would have done the problem if it had had ≧ instead of ≦. |3x+6| ≧ 30 Re-write as 3x+6 ≦ -30 OR 3x+6 ≧ 30 Solve each part for x: 3x+6 ≦ -30 OR 3x+6 ≧ 30 -6 -6 -6 -6 ---------- ---------- 3x ≦ -36 OR 3x ≧ 24 ≦ OR ≧ x ≦ -12 OR x ≧ 8 <======⚫----------⚫=======> -12 8 (,-12] U [8,) Edwin```