Prove the Limit Statement
-Ohm's Law for Electrical Circuits Is $\mathrm { V } = \mathrm { RI }$

Prove the limit statement
-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 $\mathrm { I }$ 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 $3 \pm 0.1$ amperes. In what interval does $R$ have to lie for I to be within $0.1$ amps of the target value $I _ { 0 } = 3 ?$

A) $\left( \frac { 31 } { 120 } , \frac { 29 } { 120 } \right)$

B) $\left( \frac { 120 } { 29 } , \frac { 120 } { 31 } \right)$

C) $\left( \frac { 10 } { 29 } , \frac { 10 } { 31 } \right)$

D) $\left( \frac { 120 } { 31 } , \frac { 120 } { 29 } \right)$