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9.6 Solving Inequalities Using Addition and Subtraction Day 1 Graphing.

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Presentation on theme: "9.6 Solving Inequalities Using Addition and Subtraction Day 1 Graphing."— Presentation transcript:

1 9.6 Solving Inequalities Using Addition and Subtraction Day 1 Graphing

2 What symbol is this? > 17.20.985 Many students can’t tell them apart. >< reater than ess than

3 Inequality Symbols 1) 2) 3) 4) 5) “is greater than or equal to” “is less than” “is equal to” “is less than or equal to” “is greater than”

4 How can you graphically show the following? -5 -4 -3 -2 -1 0 1 2 3 4 5

5 How to graph inequalities Place a circle on the # If it is leave the circle un-shaded, if it is ≤ or ≥ shade the circle When x is on the left hand side, if it is > or ≥ shade to the right if it is < or ≤ shade to the left

6 Graph the solution of x < -1 0

7 Graph the solution of x > -2 -2-6-40 6 42

8 Graph the solution of x  -2 If you have ≤ or ≥ you draw a closed circle -2-6-40 6 42

9 Write the inequality shown in this graph -2-6-40 6 42

10 Write the inequality shown in this graph -2-6-40 6 42

11 Write an inequality that describes each graph below. 1) -4 -3 -2 -1 0 1 2 3 4 2) -4 -3 -2 -1 0 1 2 3 4 3) -4 -3 -2 -1 0 1 2 3 4 4) -9 0 5) 0 15 6) -24 0

12 Write an inequality that represents each statement and graph. 1) All real numbers less than or equal to 3. 2) All real numbers greater than -2. 3) All real numbers less than -4. -5 -4 -3 -2 -1 0 1 2 3 4 5

13 Write two inequalities for the phrase All real numbers less than 2 All real numbers greater than or equal to 0

14 Homework Page 478 (1-7, 12-28) all

15 9.6 Solving Inequalities Using Addition and Subtraction Day 2

16 Solving Inequalities EquationsInequalities x + 3 = 5x + 3 > 5 Solve Mentally Solve Using Transformations x = 2 x is any real number greater than 2. x + 3 = 5x + 3 > 5 - 3 -3 x = 2 - 3 -3 x > 2

17 Solve the inequalities below and graph. 1) 2) 3) 4) -4 -3 -2 -1 0 1 2 3 4

18 Solve the inequalities below and graph. 1) 2) 3) 4) 0 20 -18 0 0 59 0 24

19 Homework Page 479 (29-43) all


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