introduction to solving inequalities
DESCRIPTION
Introduction to Solving Inequalities. Objective: Write, solve, and graph linear inequalities in one variable. Example 1. Example 1. Example 2. Example 2. Example 2. Try This. Solve 5 – 7t > 8 – 4t . Graph the solution on a number line. Try This. - PowerPoint PPT PresentationTRANSCRIPT
Introduction to Solving Inequalities
Objective: Write, solve, and graph linear inequalities in one variable.
Example 1
Example 1
Example 2
Example 2
Example 2
Try This
• Solve 5 – 7t > 8 – 4t. Graph the solution on a number line.
Try This
• Solve 5 – 7t > 8 – 4t. Graph the solution on a number line.
• Add 4t to both sides.• Subt. 5 from both sides.• Divide by -3, change the inequality sign.
1
33
835
4875
t
t
t
tt
Try This
• Solve 5 – 7t > 8 – 4t. Graph the solution on a number line.
• Add 4t to both sides.• Subt. 5 from both sides.• Divide by -3, change the inequality sign.• Graph.
1
33
835
4875
t
t
t
tt
01
Example 3
Example 3
Example 3
Example 4
• When solving an inequality involving the word and, you need to find the values of the variable that satisfy both inequalities. Usually your answer will be in between two numbers. We will see this in example 4.
Example 4
Example 4
Example 4
Try This
• Solve the following inequality. Graph the solution.
1622 and 543 xx
Try This
• Solve the following inequality. Graph the solution.
1622 and 543 xx
3
93
543
x
x
x
7
142
1622
x
x
x
and
3 7
Example 5
• When solving an inequality involving the word or, you need to find those values of the variable that satisfy at least one of the inequalities. In other words, one or the other. Usually, the answer is the two extremes. This is shown in example 5.
Example 5
Example 5
Example 5
Try This
• Solve the following inequality. Graph the solution.
3617or 52 xx
Try This
• Solve the following inequality. Graph the solution.
3617or 52 xx
25
52
x
x
5
357
3617
x
x
x
or
25 5
Homework
• Pages 58-59• 11-55 odd