Write set of points of continuity of g(x)= |x - 1| + |x + 1|.

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$$\begin{gathered} \mathrm{g}\left(\mathrm{x}\right)=\left|\mathrm{x}-1\right|+\left|\mathrm{x}+1\right| \\ \mathrm{As} \mathrm{modulus} \mathrm{function} \mathrm{is} \mathrm{defined} \mathrm{for} \mathrm{all} \mathrm{real} \mathrm{values} \mathrm{of} \mathrm{x}, \mathrm{and} \mathrm{it} \mathrm{does} \mathrm{not} \mathrm{take} \\ \mathrm{jump} \mathrm{in} \mathrm{its} \mathrm{domain}, \mathrm{hence} \mathrm{g}\left(\mathrm{x}\right) \mathrm{is} \mathrm{continuous} \mathrm{for} \mathrm{all} \mathrm{x}\in \mathrm{R}. \\ \mathrm{i}.\mathrm{e}. \mathrm{there} \mathrm{is} \mathrm{g}\left(\mathrm{x}\right) \mathrm{is} \mathrm{continuous} \mathrm{in} \mathrm{x}\in \left(-\infty ,\infty \right) \end{gathered}$$

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