Use the image to answer the question. Select the solution set represented on the graph. (Responses x≤−3 or x>1 x less-than-or-equal-to negative 3 or x greater than 1 x<−3 or x>1 x less than negative 3 or x greater than 1 x<−3 and x>1 x less than negative 3 and x greater than 1 x≤−3 or x≥1
The solution set represented on the graph is x≤−3 or x>1.
To select the solution set represented on the graph, we can analyze the graph. However, since there is no image provided, I am unable to provide a specific solution set based on the graph. Please provide the image or graph, and I will be happy to assist you further.
To use the image to answer the question, you need to analyze the graph and determine the correct solution set.
Based on the given answer choices, you can visualize the graph and analyze the shaded regions to correctly select the solution set.
Let's break down the options:
- x≤−3 or x>1: This would be a combination of two separate sets, one where x is less than or equal to -3, and another where x is greater than 1.
- x<−3 or x>1: Similar to the first option, this would represent two separate sets, one where x is less than -3, and another where x is greater than 1.
- x<−3 and x>1: This option implies that x should satisfy both conditions simultaneously, which is not possible since there is no region on the graph that satisfies both conditions.
- x<−3 and x>1: Similar to the previous option, this is not possible since there is no region on the graph that satisfies both conditions.
- x≤−3 or x≥1: This combination represents two separate sets, one where x is less than or equal to -3, and another where x is greater than or equal to 1.
By analyzing the shaded regions on the graph, it is evident that the correct solution set is x≤−3 or x≥1, as it covers all the shaded regions.