Solve the Problem $\mathrm { V } = \mathrm { RI }$

Solve the problem.
-Ohm's Law for electrical circuits is stated $\mathrm { V } = \mathrm { RI }$ , where $\mathrm { V }$ is a constant voltage, $\mathrm { R }$ is the resistance in ohms and I is the current in amperes. Your firm has been asked to supply the resistors for a circuit in which $\mathrm { V }$ will be 12 volts and I is to be $5 \pm 0.1$ amperes. In what interval does $R$ have to lie for I to be within $0.1$ amps of the target value $I _ { 0 } = 5$ ?

A) $\left( \frac { 17 } { 40 } , \frac { 49 } { 120 } \right)$
B) $\left( \frac { 120 } { 49 } , \frac { 40 } { 17 } \right)$
C) $\left( \frac { 10 } { 49 } , \frac { 10 } { 51 } \right)$
D) $\left( \frac { 40 } { 17 } , \frac { 120 } { 49 } \right)$