Cross Multiplication In Inequality

Cross multiplication is a useful technique for solving inequalities involving fractions or ratios, where you multiply each side of the inequality by the denominator of the other side. This technique is often employed when you have an inequality of the form:

To use cross multiplication effectively and correctly, follow these steps, ensuring that you do not change the direction of the inequality inappropriately:

simplify Further if Needed: After cross-multiplying, simplify the resulting expression if possible. This might involve factoring, expanding, or simplifying algebraic expressions.

Since the statement is true, the original inequality is also true.

Always ensure to cross-multiply correctly by considering the signs of the denominators to avoid errors in the direction of the inequality.

subscribe for more videos 📸