Inequalities Critical Thinking Skill: Explicitly assess information and draw conclusions

Inequalities Inequality: tells the relationship between two numbers or expressions. ~ To go on this ride you must be AT LEAST 48 inches tall ~ The speed limit is NO MORE than 55 miles per hour. less than less than or equal to greater than greater than or equal to

Graphing Inequalities 1). x < 4 Steps: 1. Draw a number line. 2. Put the number involved on the line. (you must show at least 3 numbers) 3. Put a point on the line: : 4. Shade in the correct direction: left: <, < right: >, >

Graph the following: 1). x > 5 2). 4 < x Name the following inequalities:

SOLVING INEQUALITIES 1). x + 7 < 12 2). 3 ( r + 2) - 2r > 4 Solve each inequality and graph the solution

Multiplication Property 3 < 7 Is this a true statement? 2 3 < 2 7 Multiply both sides by 2 6 < 14 Is this still a true statement? This tells that when you multiply or divide an inequality by a positive number the inequality sign stays the same

3 < 7 Is this a true statement? -3 3 < -3 7 Multiply both sides by < -21 Is this a true statement? -9 > -21 If we reverse the inequality symbol is it true? * This means when we multiply or divide an inequality by a negative value we must flip the inequality sign.

ex 1: -2x > 18 ex 2: x < 6 -3 ex 3: 7 - 4x < -1 ex 5: n < 11n - 12 ex 4: x < -15 5

1.) Mrs. Davidson has 2,800 popsicle sticks to use to make model houses. She used 100 of the sticks to show her class how to make a basic structure. She will divide the remaining sticks equally among 18 students. Write and solve an inequality to show how many popsicle sticks each student could use. Be sure to identify what the variable represents. Graph your solution.