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Application of inequalities and absolute values

Solve the fol...

Question

Solve the following inequality:
$x^{4} - 5 x^{2} + 4 < 0$

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Solution

$x^{4} - 5 x^{2} + 4 < 0$
$x^{4} - 4 x^{2} - x^{2} + 4 < 0$
$(x^{2} - 1) (x^{2} - 4) < 0$
$(x - 1) (x + 1) (x - 2) (x + 2) < 0$
$x ϵ (- 2, - 1) \cup (1, 2)$

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Application of inequalities and absolute values

Standard XII Mathematics

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