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FP2 Chapter 1 - Inequalities

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RECAP

 

Solving Quadratic Inequalities (C1)

 

 

 

 

 

Permitted operations in inequalities?

 

 

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Getting around this problem

 

 

 

 

 

 

 

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Bro Tip: Remember in FP1 with summation proofs, we tried to avoid expanding things where we could factorise first?

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Another Example

 

 

 

 

 

 

 

 

 

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Factorise ?

Sketch?

Solution ?

 

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Test Your Understanding

 

FP1 June 2007 Q1

(Yes, it’s moved module!)

 

P4 Jan 2006 Q2

(We’re going back to the good ole’ days now of P!)

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Exercise 1A

Solve the following inequalities.

 

 

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15a

15b

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Solving by Sketching

A simple example:

 

 

 

 

 

1

 

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1

 

 

 

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More Examples

 

 

 

 

 

 

 

 

 

 

 

 

 

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Modulus-ey ones

 

 

 

 

 

 

 

 

 

1

3

 

 

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2

2

 

 

 

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Modulus-ey ones

 

 

3

7

 

 

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Test Your Understanding

 

FP1 June 2006 Q7

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(b) ?

(c) ?

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Exercise 1B

Solve the following inequalities:

 

 

1

2

3

4

5

6

7

8

9

10

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