Year 9 Interactive Maths - Second Edition

Dividing Each Side of an Inequality by a Negative Number

Consider the inequality

20 > 10

Let us consider another example.

Consider the inequality

10 < 20

In general:

If both sides of an inequality are divided by the same negative number, then:

Example 28

Solution:

Example 29

Solution:

Just to recap the foregoing discussion:

• The same number can be added to or subtracted from both sides of an inequality.
• Both sides of an inequality can be multiplied or divided by the same positive number.
• If an inequality is multiplied (or divided) by a negative number, then:

Study Another Topic in Chapter 2: Linear Equations and Inequalities

[ Linear Equations ] [ Equations Involving Subtraction ] [ Equations Involving Multiplication ] [ Equations Involving Division ] [ Equations Involving Two or More Operations ] [ Equations Containing Brackets ] [ Equations Containing Fractions ] [ Linear Inequalities ] [ Adding a Number to Each Side of an Inequality ] [ Multiplying Each Side of an Inequality by a Positive Number ] [ Dividing Each Side of an Inequality by a Positive Number ] [ Multiplying Each Side of an Inequality by a Negative Number ] [ Dividing Each Side of an Inequality by a Negative Number ] [ Further Inequalities ] [ Inequalities Containing Brackets ] [ Inequalities Containing Fractions ] [ Formulas ] [ Rearrangement of Formulas ] [ Transpositions Involving Subtraction ] [ Transpositions Involving Division ] [ Transpositions Involving Multiplication ] [ Further Transpositions ] [ Transpositions Involving Brackets ] [ Transpositions Involving Fractions ] [ Problem Solving ] [ Problem Solving Unit ] [ Symbols ] [ Index ]