#### ALGEBRA

An algebraic expression – is a collection of numbers, variables, operators and grouping symbols.Variables – are letters used to represent one or more numbers

An

inequality – is a mathematical statement containing two expressions

which are not equal. One expression may be less or greater than the

other.The expressions are connected by the inequality symbols<,>,≤

or≥.Where< = less than,> = greater than,≤ = less or equal and ≥ =

greater or equal.

inequality – is a mathematical statement containing two expressions

which are not equal. One expression may be less or greater than the

other.The expressions are connected by the inequality symbols<,>,≤

or≥.Where< = less than,> = greater than,≤ = less or equal and ≥ =

greater or equal.

Linear Inequalities with One Unknown

Solve linear inequalities in one unknown

An

inequality can be solved by collecting like terms on one side.Addition

and subtraction of the terms in the inequality does not change the

direction of the inequality.Multiplication and division of the sides of

the inequality by a positive number does not change the direction of the

inequality.But multiplication and division of the sides of the

inequality by a negative number changes the direction of the inequality

inequality can be solved by collecting like terms on one side.Addition

and subtraction of the terms in the inequality does not change the

direction of the inequality.Multiplication and division of the sides of

the inequality by a positive number does not change the direction of the

inequality.But multiplication and division of the sides of the

inequality by a negative number changes the direction of the inequality

Example 11

Solve the following inequalities

**Solution**

Linear Inequalities from Practical Situations

Form linear inequalities from practical situations

To represent an inequality on a number line, the following are important to be considered:

- The endpoint which is not included is marked with an empty circle
- The endpoint which is included is marked with a solid circle

Example 12

Compound statement – is a statement made up of two or more inequalities

Example 13

Solve the following compound inequalities and represent the answer on the number line

**Solution**

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