Text Solve the inequality ∣3x−2∣≤7.|3x-2|\le 7.∣3x−2∣≤7. Solution An inequality of the form ∣A∣≤k|A|\le k∣A∣≤k (with k>0k>0k>0) is equivalent to the double inequality −k≤A≤k-k\le A\le k−k≤A≤k: −7≤3x−2≤7 ⟹ −5≤3x≤9 ⟹ −53≤x≤3.-7\le 3x-2\le 7\implies -5\le 3x\le 9\implies -\tfrac53\le x\le 3.−7≤3x−2≤7⟹−5≤3x≤9⟹−35≤x≤3. −53≤x≤3.\boxed{-\tfrac53\le x\le 3.}−35≤x≤3.