In del-ray Beach, You can take a luxury golf cart ride around the downtown. The driver charges $\$5$ for first $\large\frac{1}{4}$ mole plus $\$2$ for each additional $\large\frac{1}{2}$ mile. Which of the following inequalities represents by the number of miles $m$ that you could ride and not pay more than $\$12$ ?

Question

$(a)\;1+m \leq 12 \\ (b)\;1-m \leq 12 \\ (c)\; 1+m \geq 12 \\(d)\;1-m \geq 12 $