Use the image to answer the question. Select the solution set represented on the graph. (1 point) 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 or x≥1 x less-than-or-equal-to negative 3 or x greater-than-or-equal-to 1 x<−3 and x>1

1 answer

To select the correct solution set represented on the graph, you need to analyze the regions marked in the graph for the values of x.

  • If the graph shows a line or shaded area to the left of -3 that is inclusive (filled in at -3), and another line or shaded area to the right of 1 that is not inclusive (open circle at 1), the correct answer is: x ≤ -3 or x > 1.

  • If the shaded area extends beyond -3 but does not include it (open circle at -3) and similarly extends beyond 1 (as an open circle at 1), the correct answer would be: x < -3 or x > 1.

  • If the graph includes both -3 and a range starting from 1 including that point, choose: x ≤ -3 or x ≥ 1.

  • If the graph shows two intersecting shaded areas representing a need for both conditions to be true at the same time (something that is less common in a standard linear setup), then choose: x < -3 and x > 1.

Please select the one that correlates to what the graph depicts.