Question

What is the greatest integer solution to πx−17<20?
a. 13
b. 14
c. 15
d. 16

Answer 1

After solving the inequality πx−17<20, we find that x must be less than 37/π, which is approximately 11.78. Therefore, the correct greatest integer solution is 11, which is not among the provided options.

Step-by-step explanation:

To solve the inequality πx−17<20, we want to isolate x on one side of the equation:

1. Add 17 to both sides of the inequality: πx < 20 + 17
2. πx < 37
3. Divide both sides by π: x < 37/π
4. Calculate the value of 37/π which is approximately 11.78

Since we are looking for the greatest integer solution, we must choose the largest integer less than 11.78. Therefore, the correct answer is 11, which is not one of the options provided. Please note that there might be a mistake in the question since the available options do not include 11.