quadratic inequalities: prerequisite task startingpointsmaths

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Quadratic Inequalities: Prerequisite Task 1 startingpointsmaths.com x 2 4x +5<0 x 2 4x +5 0 x 2 4x +5<0 x 2 4x +5 0 For each graph shade the region indicated by the inequality. x 2 +4x 3 0 x 2 +4x 3 0 (a) (b) (c) (d) (e) (f)

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Page 1: Quadratic Inequalities: Prerequisite Task startingpointsmaths

Quadratic Inequalities: Prerequisite Task

1

startingpointsmaths.com

x2 − 4x + 5 < 0 x2 − 4x + 5 ≥ 0

x2 − 4x + 5 < 0 x2 − 4x + 5 ≥ 0

For each graph shade the region indicated by the inequality.

−x2 + 4x − 3 ≤ 0 −x2 + 4x − 3 ≤ 0(a) (b)

(c) (d)

(e) (f)

Page 2: Quadratic Inequalities: Prerequisite Task startingpointsmaths

Quadratic Inequalities: Prerequisite Task

2

startingpointsmaths.com

Write an inequality to describe the shaded regions in each of the following:

(a) (b)

(c) (d)

(e) (f)