8.6 Inequalities Objective: Students will be able to write an inequality given a statement. They will then be able to graph an inequality on a number line.

Information Inequality: inequality sign instead of = sign. Signs of inequality < less than > greater than ≥ greater/equal to ≤ less/equal to Solution of inequality: numbers that prove inequality.

Graphing Inequalities 4 Graphing Tips: < or > open circle Ex: ≤ or ≥ closed circle Ex: at most or no more than = ≤ at least = ≥

Write inequalities Stadium can seat up to 52,000. John can eat more than 6 slices of pizza. I hit at most 12 home runs. Jake can eat more than 20 candy bars. A cat weighs less than 10 pounds.

Writing Inequalities Greatest weight person can lift is 220lbs. John ate more than 53 m&m’s. I average at least 23pts a game. Save at least $50 on coupon Tow truck can tow up to 7700 lbs. The DVD cost s more than $14.

Check solutions Check to see if the numbers are solutions to the following inequality. 5x > 4 4 -2 8 5

St. Solutions Which numbers are solutions: -5x < 30 -9 3 5 6

Graphing Inequalities x < 5 m ≥ 12 z ≥ -6 h < 15

Graphing Inequalities x < 10 m ≥ 1 z ≥ -2 h < 5

Graphing compound inequalities x > 7 and x ≤ 12 c < 3 or c > 10

Given the graph, write an inequality

Quiz Write an inequality showing I have at least six hats. Draw a number line and then graph y ≥ 6 Write an inequality for the problem below:

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