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3.1 Inequalities and Their Graphs Objective: SWBAT graph and determining solutions of inequalities. Mini Quiz 20 1. Express in miles per hour: 1 mi in 3 min 2. Fresh Flowers sells six roses for $7.50. Find the unit rate. 3. In converting rates, how do you set it up? Quick Review 1. Name each inequality < > Less Than Greater Than ≤ Less Than 2. Fill in the correct inequality or equal to < 7 > -3 a. 5 __ b. 0 __ < -1 < -0.01 c. -4 __ d. -0.1 __ 3.Graph each number on the number line: a. 0 b. 4 c. -2 0 ≥ Greater Than or equal to Inequality Symbols Symbol Vocabulary Graphed Less Than Greater Than Less Than or Equal To Greater Than or Equal To OPEN CLOSE Reminder: • “Less Than” has a L in italics (that’s tripping), which looks like this < • The “Equal To” part fills in the dot… Open or Solid? Tell whether the following is an open dot or close dot: OPEN 1. x > 7 CLOSE 2. x - 1 ≤ 23 OPEN 3. 5y < -3 OPEN 4. -2x + 3 > -5 CLOSE 5. -8 ≥ -y – 4 Graphing Inequalities 6. Graph n > -2 7. Graph 4 ≤ m 8. Graph a < 1 9. Graph y ≥ -3 0 0 0 0 Writing an Inequality Write an inequality for each graph 10. 0 x>2 11. 0 x≤0 12. 0 x≥1 13. 0 x < -3 Mental Math 14. Is each number a solution of x ≤ 7? a. 9 No b. 14 Yes 2 15. Is each number a solution of x > -4.1? a. -5 No b. -4.1 No c. 8 Yes d. 0 Yes Identifying Solutions by Evaluating 16. Is each number a solution of 2 – 5x > 13? a. -4 Yes b. 3 No 17. Is each number a solution of 6x – 3 > 10? a. 1 No b. 2 No c. 3 Yes d. 4 Yes Wrap Up Inequalities less than greater than less than or equal to greater than or equal to Graphing Inequalities < > ≤ ≥ Open or Close Shade to left or right Evaluating Inequalities – check solutions HW: P. 126 #1-37 EOO; P. 129 #80-88 all Write DLUQ: When do you graph with a closed dot?