BellworkJanuary 8, 2015

Solve for the variable:

BellworkJanuary 8, 2015

Solve for the variable:

AlgebraSection 6January 8, 2015

Addition Property of Inequality

Addition property of inequality:Adding the same number to each side of an inequality produces an equivalent inequality

If , then If , then If ,then If , then

Solving an inequality using addition

Example 1:

Solve and graph:

Solving an inequality using addition

Example 1:

Solve and graph:

Subtraction Property of Inequality

Subtraction Property of Inequality:

Subtracting the same number from each side of an inequality produces and equivalent inequality

If then If then If then If then

Solving and inequality using subtraction

Example 2:Solve and graph:

Solving and inequality using subtraction

Example 2:Solve and graph:

Graphing Inequalities

It matters whether or not the circle is closed (solid) or open (unfilled)When the symbol of the inequality is > or < the circle is open When the symbol is the circle is closed

Multiplication Property of Inequality

Multiplication Property of InequalityMultiplying each side of an inequality by a positive number produces an equivalent inequality

Multiplying each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality

The same is also true for inequalities involving

Solving an inequality with multiplication

Example 3:Solve:

Solving an inequality with multiplication

Example 3:Solve:

Division Property of Inequality

Division Property of InequalityDividing each side of an inequality by a positive number produces and equivalent inequality

Dividing each side of an inequality by a negative number and reversing the inequality symbol produces and equivalent inequality

The same is also true for inequalities involving

Solving an inequality with multiplication

Example 4:Solve:

Solving an inequality with multiplication

Example 4:Solve:

Solving multi-step inequalities

These inequalities require multiple steps (addition, subtraction, multiplication, and division) to solve.

Solving a multi-step inequality

Example 5:Solve:

Solving a multi-step inequality

Example 5:Solve:

Solving a multi-step inequality

Example 6Solve:

Solving a multi-step inequality

Example 6Solve:

Homework

Assignment 6-1Due January 12,

2015