Question

question 2 of 10
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 + 4geq19) 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. 4 or more times
c. at most 3 times
d. at most 4 times

Explanation:

Step1: Subtract 4 from both sides

To solve the inequality \(5t + 4 \geq 19\), we first subtract 4 from both sides. This gives us \(5t + 4 - 4 \geq 19 - 4\), which simplifies to \(5t \geq 15\).

Step2: Divide both sides by 5

Next, we divide both sides of the inequality \(5t \geq 15\) by 5. So, \(\frac{5t}{5} \geq \frac{15}{5}\), which simplifies to \(t \geq 3\).

Answer:

A. 3 or more times