Multiplication of inequalities

Property:
Multiplying (or dividing) both sides of a inequality by the same positive number does not change the order of the inequality sign. For any three numbers a,b,c where c > 0.

(1). If a < b, then ac < bc and a/c < b/c.
(2). If a>b, then ac > bc and a/c > b/c.

Question: Solve for x in the inequality

4x - 3 < x + 1

Answer:-
4x - 3 < x + 1

Adding 3 to both sides of the inequality

4x - 3 + 3 < x + 1 + 3

4x < x + 4

3x < 4 ---- dividing both sides of a inequality by 3 does not change the order of the inequality sign.

x < 4/3

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