Question

Solve 2|x - 1| >= 10

Answer 1

`\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}`

Explanation:

`\bold2\\\\{}\ /2\qquad/2\\\\\bold\geqslant5\\\\\bold {x-1\geqslant5\qquad\quad\vee\qquad x-1\leqslant-5}\\\\\bold {x\geqslant6\qquad\qquad\vee\qquad\ \ x\leqslant-4}\\\\\bold{\underline{x\in(-\infty\,,\,-4\big>\cup\big<6\,,\,\infty)}}`