[tex]|6-x| < 4\\6-x < 4 \wedge 6-x > -4\\x > 2 \wedge x < 10\\x\in(2,10)[/tex]
[tex]|2-x| > 3\\2-x > 3 \vee 2-x < -3\\x < -1 \vee x > 5\\x\in(-\infty,-1)\cup(5,\infty)[/tex]
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Verified answer
[tex]|6-x| < 4\\6-x < 4 \wedge 6-x > -4\\x > 2 \wedge x < 10\\x\in(2,10)[/tex]
[tex]|2-x| > 3\\2-x > 3 \vee 2-x < -3\\x < -1 \vee x > 5\\x\in(-\infty,-1)\cup(5,\infty)[/tex]