Question

How do you solve `|t - 945| - 2 = 18` and graph the solution?

Answer 1

`t=965color(white)("xxxxxx")"or"color(white)("xxxxxx")t=925`
The "graph" is simply two points on the number line (the given equation does not define a relation in Cartesian space).

Explanation:

Note that `abs(t-945)-2=18` is equivalent to `abs(t-945)=20`

#{: ("if " t > 945,), ("then " abs(t-945),=t-945 (=20)), (,rArr t=965), ("if " t < 945,), ("then " abs(t-945),=945-t (=20)), (,rArr t=925) :}#