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Review topics

Review topics. Inequalities. Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write – 6 x + 2 y = – 4 in slope-intercept form, and graph. y = 3 x – 2. What is a good definition for Inequality?. Inequalities and their Graphs.

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Review topics

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  1. Review topics Inequalities

  2. Warm Up Graph each inequality. 1. x > –5 2.y ≤ 0 3. Write –6x + 2y = –4 in slope-intercept form, and graph. y = 3x – 2

  3. What is a good definition for Inequality? Inequalities and their Graphs An inequality is a statement that two expressions are not equal

  4. Inequalities

  5. Two types • Graphing on a number line: • Graphing on a coordinate graph

  6. Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly < less than Notice open circles > greater than

  7. Inequalities and their Graphs ≤ less than or equal to ≥ greater than or equal to Notice colored in circles

  8. Inequities in coordinate planematch each inequality with a graph. • > • < • > <

  9. y x Objective - To graph linear inequalities in the coordinate plane. Number Line Coordinate Plane -4 -3 -2 -1 0 1 2 3 4 x = 3

  10. y x Number Line Coordinate Plane -4 -3 -2 -1 0 1 2 3 4 y = -2

  11. y x Boundary Line Test a Point False!

  12. If y = mx + b, solid dashed shade up shade down

  13. y x Boundary Line If y = mx + b, Dashed line Shade up

  14. y x If y = mx + b, Solid line Shade up

  15. y x If y = mx + b, Dashed line Shade down

  16. y x If y = mx + b, Solid line Shade up

  17. y x If y = mx + b, Dashed line Shade up

  18. y x Write the inequality described by the graph below. -4 If y = mx + b, +3 Dashed line Shade Down

  19. Determine whether the given point is a solution to the inequality -2x + 3y < 9. 1) (2, -3) Yes, (2,-3) is a solution. 2) (3, 5) No, (3,5) is not a solution.

  20. Problem If you have less than $5.00 in nickels and dimes, find an inequality and sketch a graph to describe how many of each coin you have. Let n =# of nickels Let d =# of dimes 0.05 n + 0.10 d < 5.00 or 5 n + 10 d < 500

  21. 5n + 10d <500 n d d 50 60 50 40 30 20 10 0 0 100 0 n 0 10 20 30 40 50 60 70 80 90 100

  22. Test Yourself • Click here to go through a multiple choice question set

  23. On your own: • Review your notes. Rewrite and fortify them if needed. • Update your vocab list, if needed. • See worksheet handed out in class.

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