pxw","difficulty":"hard","question_text":"Solve the inequality: $|3x - 1| < |x + 5|$.","choices":[{"id":"a","text":"$$(-1, 3)$"},{"id":"b","text":"$$(-1, 2)$"},{"id":"c","text":"$$(-2, 4)$"},{"id":"d","text":"$$(-1.5, 3)$"}],"correct_ids":["a"],"solution":"$$(3x-1)^2 < (x+5)^2 \\implies 9x^2 - 6x + 1 < x^2 + 10x + 25 \\implies 8x^2 - 16x - 24 < 0 \\implies x^2 - 2x - 3 < 0 \\implies (x-3)(x+1) < 0 \\implies (-1, 3)$.","created_at":"2026-06-13T17:27:36.302195+00:00","updated_at":"2026-06-13T17:27:36.302195+00:00","diagram_svg":null,"human_approved":false,"user_approved":false,"ai_approved":false,"ai_review":null,"topic":{"name":"Inequalities","slug":"algebra_inequalities","description":"Linear, quadratic, absolute value inequalities"}},"user":null,"initialGuestCount":0}]}]]}] f:[["$","meta","0",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","1",{"charSet":"utf-8"}],["$","title","2",{"children":"Ononot — Solve the inequality: |3x - 1| < |x + 5|."}],["$","meta","3",{"name":"description","content":"Solve the inequality: |3x - 1| < |x + 5|."}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","link","5",{"rel":"canonical","href":"https://ononot.com/questions/solve-the-inequality-3x-1-x-5-ynpxw"}],["$","meta","6",{"property":"og:title","content":"Ononot — Solve the inequality: |3x - 1| < |x + 5|."}],["$","meta","7",{"property":"og:description","content":"Solve the inequality: |3x - 1| < |x + 5|."}],["$","meta","8",{"property":"og:url","content":"https://ononot.com/questions/solve-the-inequality-3x-1-x-5-ynpxw"}],["$","meta","9",{"property":"og:type","content":"website"}],["$","meta","10",{"name":"twitter:card","content":"summary"}],["$","meta","11",{"name":"twitter:title","content":"Ononot — Solve the inequality: |3x - 1| < |x + 5|."}],["$","meta","12",{"name":"twitter:description","content":"Solve the inequality: |3x - 1| < |x + 5|."}],["$","link","13",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"16x16"}]] 4:null

Solve the inequality: ∣3x−1∣<∣x+5∣|3x - 1| < |x + 5|∣3x−1∣<∣x+5∣.

Solve the inequality: $|3x - 1| < |x + 5|$ .