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Do-Now: 1) What times can you park if there is NO PARKING from 1pm- 3pm? 2) How can we write this using an inequality?

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Presentation on theme: "Do-Now: 1) What times can you park if there is NO PARKING from 1pm- 3pm? 2) How can we write this using an inequality?"— Presentation transcript:

1 Do-Now: 1) What times can you park if there is NO PARKING from 1pm- 3pm? 2) How can we write this using an inequality?

2 Objective: To solve a given compound inequality.

3 2.5 Notes: Compound Inequalities When two inequalities are combined into one statement, the result is called a COMPOUND INEQUALITY (The words AND & OR are used to describe the relationship.)

4 Type 1: OR Inequalities How they work: a.) Solve both inequalities separately b.) Graphs are pointed in different directions.

5 Examples: Solve and Graph 1) 6x -3

6 Examples: Solve and Graph 2) 3x 5

7 Examples: Solve and Graph 3) 2x + 1 > 13 OR –x + 5 > -5

8 Try these- solve & Graph: A.)3y -5 5 B.) 4c+3 ≤ -5 OR C-8 > -1

9 Write the sentence as an “OR” inequality 4) A number d is fewer than -6 or no less than -3 5) A number x is greater than -8 or less than or equal to -25

10 Write an OR inequality given the graph 6)

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12 Do Now Solve and Graph. 1) x > 5 or x ≥ 7 2) x < 9 or x ˃ -6

13 Type 2: AND Inequalities!! How they work: a) Solve separate/ Solve using 3 pieces b) B) Graph has solutions bounded between two values.

14 Examples: Solve and Graph A. -5 < 3x + 7 and 4x < 20

15 Examples: Solve and Graph B. -6 < 2x + 4 and 3x < 6

16 Examples: Solve and Graph C. -2 < 5x + 8 < 18

17 Examples: Solve and Graph D. -7 < 3x + 2 < 8

18 Write an “AND Inequality for each graph or sentence: E. F. You can park, p, after 3pm but not past 8pm

19 Try These-Solve & Graph: 1) 20 < 7x – 1 < 34 2) -12 < -2x + 8 < -4 3) b – 3 1 4) 5) A number g is no less than 5 and fewer than 23

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