Linear Inequalities – Notes

Introduction to Linear Inequalities

Inequalities: Two real numbers or two algebraic expressions related by the symbols, ‘<’, ‘>’, ‘’ or ‘’, from an inequality.

The values of x for which the statements holds true are called the solutions of the inequality.

Equal numbers may be added to (or subtracted from) both the sides of an inequality without affecting the sign of inequality.

Both the sides of an inequality can be multiplied (or divided) by the same positive number. However, when both sides are multiplied or divided by a negative number, then the sign of inequality is reversed.