Question

Cedric plans to ride his bicycle 2 miles to a park and then ride several times around a loop in the park that is 5 miles long. Then he'll ride the same way home. He wants to ride a total of at least 19 miles. The inequality 5t+4>19 models this situation, where t is the number of times Cedric rides around the loop.
Solve the inequality. How many times does Cedric need to ride around the loop?

A. 3 or more times
B. At most 4
C. At most 3 times
D. 4 or more times

Answer 1

5t+4>19------------------ > 5t > (19-4)
5t > (19-4)----------------- > 5t >15---------------- > t >15/5------ > t >3

the solution of this inequality is (3, ∞)

the answer is D. 4 or more times