Equations in One Variable
... Case 1: x ≥ 10. In this case, the inequality may be written x − 10 < 3, so x < 13. We thus see that when x ≥ 10, x is a solution if x < 13. In other words, all numbers x such that 10 ≤ x < 13 are solutions. Case 2: x < 10. In this case, the inequality may be written 10 − x < 3, so −x < −7, x > 7. We ...
... Case 1: x ≥ 10. In this case, the inequality may be written x − 10 < 3, so x < 13. We thus see that when x ≥ 10, x is a solution if x < 13. In other words, all numbers x such that 10 ≤ x < 13 are solutions. Case 2: x < 10. In this case, the inequality may be written 10 − x < 3, so −x < −7, x > 7. We ...
