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Types of Inequalities

Solve for x...

Question

Solve for $x$ , if $| x + 1 | + | x | > 3.$

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Solution

$3 < (x + 1 + x) < - 3$

$3 < 2 x + 1 < - 3$

$2 < 2 x < - 4$

$2 < x < - 2$ $x t (2, 00) U (- 2, - 00)$

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