AM-1489

Quadratic inequalities

A Math · Secondary 4 · Medium · Quadratic inequalities

The curve

y = x^2 - 4x + 1

and the line

y = -1

are given.

Find the set of values of

x

for which the curve lies below the line.

$2 - \sqrt{2} < x < 2 + \sqrt{2}$
$x < 2 - \sqrt{2}$ or $x > 2 + \sqrt{2}$
$x \le 2 - \sqrt{2}$ or $x \ge 2 + \sqrt{2}$
$x = 2 \pm \sqrt{2}$

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