$7\mathrm{.}7$ Consider the following set of requirements for an insulin pump system:

$7\mathrm{.}7\mathrm{.}1$ If the insulin dose button is pressed, then the insulin dose is administered.

$77\mathrm{.}2$ If the insulin dose is administered, then the dose indicator light is off.

$7\mathrm{.}7\mathrm{.}3$ If the insulin dose button is pressed and the dose indicator light is on$,$ then the

insulin dose is administered.

$77\mathrm{.}4$ If the insulin dose is administered, then the dose indicator light is on$.$ Determine

using a truth table if these requirements are consistent or not.