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x2 4x +5 < 0 2 4 +5 0

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Quadratic Inequalities: Prerequisite Task 1 startingpointsmaths.com x 2 − 4x +5<0 x 2 − 4x +5 ≥ 0 x 2 + x − 6 ≤ 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) x 2 + x − 6>0
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Page 1: x2 4x +5 < 0 2 4 +5 0

Quadratic Inequalities: Prerequisite Task

1

startingpointsmaths.com

x2 − 4x + 5 < 0 x2 − 4x + 5 ≥ 0

x2 + x − 6 ≤ 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) x2 + x − 6 > 0

Page 2: x2 4x +5 < 0 2 4 +5 0

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)


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