Reena rides her bike to and from school. It takes more than 5 minutes and less than seven minutes to bike the first three blocks to school, and she is able to get to school in less than 20 minutes . If x represents the number of minutes it takes Reena to ride the first three blocks to school and y the remaining distance, which of the following system of inequalities models the word problem

Question

$\begin{array}{1 1} (a)\; 5 < x < 7 , \; x+y < 20 \\(b)\; 5 \leq x \leq 7 , \; x+y < 20 \\ (c)\; 5 < x < 7 , \; x-y < 20 \\ (d)\; 5 > x < 7 , \; x-y < 20 \end{array}$