On the same axes, sketch $$y=|x-1|\quad\text{and}\quad y=2.$$ Find the intersection coordinates. Hen

Question

On the same axes, sketch $$y=|x-1|\quad\text{and}\quad y=2.$$ Find the intersection coordinates. Hence solve $|x-1|=2$. Solve $|x-1|<2$.

Accepted Answer

(a) Intersections $(-1,2),(3,2)$; (b) Equation $x=-1,3$; (c) Inequality $-1<x<3$.

Modulus Function