Question

Assume n is an integer and solve for n. |2n - 3| = 5 {-4, -1} {1, 1} {-1, 4} {4, 4}

Answer 1

`|2n-3|=5\iff2n-3=5\ or\ 2n-3=-5\ \ \ |add\ 3\ to\ both\ sides\\\\2n=8\ or\ 2n=-2\ \ \ \ |divide\ both\ sides\ by\ 2\\\\n=4\ or\ n=-1\\\\Answer:\boxed{\{-1;\ 4\}}`