Linear inequalities in one variable (ax + b < c or ax + b > c) are solved like equations but flip inequality sign when multiplying/dividing by negative. Steps: (1) Isolate variable; (2) If multiply/divide by negative, reverse sign; (3) Express solution as x > a or x < a; (4) Graph on number line. Example: 3x - 5 > 10 → 3x > 15 → x > 5. Or -2x + 8 < 4 → -2x < -4 → x > 2 (sign flips). Solving MCQs: Check inequality direction after each operation. Shortcut: Move all variables to one side, constants to other. Exam tip: Phrase answers correctly (x ∈ (5, ∞)). Understand difference between < and ≤ (open vs closed interval). Practice: Handle compound inequalities like 2 < x < 5.