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|2x-3| < 9 solve for x

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Lilithidn
[tex]|2x-3| < 9 \\ \\2x-3 < 9 \ \ and \ \ 2x-3 > -9 \\ \\ 2x < 9 +3 \ \ and \ \ 2x > -9 +3 \\ \\ 2x < 12\ \ and \ \ 2x > -6 \\ \\ x < 6\ \ and \ \ x > - 3 \\ \\ x \in (-3,6) [/tex]
View image Lilith
[tex]|2x-3| < 9\iff2x-3 < 9\ \wedge\ 2x-3 > -9\\\\2x < 9+3\ \wedge\ 2x > -9+3\\\\2x < 12\ \wedge\ 2x > -6\\\\x < 6\ \wedge\ x > -3\\\\\\x\in(-3;\ 6)[/tex]
View image Аноним
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