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2. Solve | 2x - 11 | < 3.​
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3 votes
2. Solve | 2x - 11 | < 3.​

User SteveMellross
by
8.3k points

1 Answer

2 votes

Answer:

4<x<7

Explanation:


\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7

User Mandar Dharmadhikari
by
8.0k points
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