To solve (x - 1) / (x^2 + x - 6) ≥ 0, first factor the denominator: (x - 1) / [(x + 3)(x - 2)] ≥ 0. The critical points are x = 1 (from numerator) and x = -3, 2 (from denominator). Plotting these on a number line divides it into four intervals: (-∞, -3), (-3, 1], [1, 2), and (2, ∞). Testing the sign in each interval: 1) For x > 2, the expression is positive. 2) For 1 < x < 2, the expression is negative. 3) For -3 < x < 1, the expression is positive. 4) For x < -3, the expression is negative. We need ≥ 0, so we select (-3, 1] ∪ (2, ∞). Option 2 is wrong because -3 and 2 must be excluded to avoid division by zero. Option 3 describes the solution for ≤ 0. Option 4 is incomplete.