Questions: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. The solution set is ∅. Choose the correct graph of the solution set. A. B. C. D. E. F

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation.) B. The solution set is ∅. Choose the correct graph of the solution set. A. B. C. D. E. F
Transcript text: Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ (Type your answer in interval notation.) B. The solution set is $\varnothing$. Choose the correct graph of the solution set. A. B. C. D. E. $F$
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Solution

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Solution Steps

Step 1: Identify the Problem

The problem requires determining the solution set for an inequality and selecting the correct graph that represents this solution set.

Step 2: Analyze the Given Options

The options provided are:

  • A. The solution set is an interval (to be determined).
  • B. The solution set is empty (∅).
Step 3: Examine the Graphs

The graphs provided are:

  • A. Interval from -6 to 2.
  • B. Interval from -6 to 2, including endpoints.
  • C. Interval from -6 to 2, including endpoints.
  • D. Interval from -6 to 2, including endpoints.
  • E. Interval from -∞ to -6 and from 2 to ∞.
  • F. Interval from -∞ to -6 and from 2 to ∞.

Final Answer

The correct solution set is the interval from -6 to 2, including endpoints. Therefore, the correct answer is:

  • A. The solution set is \([-6, 2]\).
  • The correct graph is C.
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