Could someone help me solve the inequality? |x-18| > or = to 6

asked Dec 9, 2015 115k views

4 votes

Could someone help me solve the inequality?
|x-18| > or = to 6

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4 votes

$|x-18|\geq6\\ x-18\geq 6 \vee x-18\leq-6\\ x\geq24 \vee x\leq 12\\ x\in(-\infty,12\rangle\cup\langle24,\infty)$

Sparcut answered Dec 11, 2015

7.9k points

7 votes

$|x-18|\geq6\iff x-18\geq6\ \vee\ x-18\leq-6\ \ \ |add\ 18\ to\ both\ sides\\\\x\geq24\ \vee\ x\leq12\\\\x\in(-\infty;12]\ \cup\ [24;\ \infty)$

Rstackhouse answered Dec 15, 2015

8.0k points

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