Question

Use the inequality 10cosx≤20 with a period [−2π,0] to answer the following questions.

Part A: Which answer correctly explains the solution process of the inequality?
a) Divide both sides by 10, then find the values of x satisfying the inequality.
b) Multiply both sides by 10, then find the values of x satisfying the inequality.
c) Take the cosine inverse of both sides, then solve for x.
d) The inequality has no solution.

Part B: What does the period represent in this problem?
a) It defines the range of values for x.
b) It indicates the interval over which the inequality holds true.
c) The period is unrelated to the inequality.
d) It represents the amplitude of the cosine function.

Answer 1

The solution process involves dividing both sides by 10 and finding the values of x that satisfy the inequality. The period represents the interval over which the inequality holds true.

Step-by-step explanation:

The correct answer for Part A is a) Divide both sides by 10, then find the values of x satisfying the inequality. To solve the inequality, we can start by dividing both sides by 10 to isolate the cosine function. Then we can find the values of x that satisfy the inequality.

The correct answer for Part B is b) It indicates the interval over which the inequality holds true. The period of the inequality represents the interval over which the cosine function repeats its values. In this case, the period is [−2π,0].