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Question 10

Use the image to answer the question. Select the solution set that is represented by the graph below.

(1 point)
Responses

x≤−3 or x>1
x≤−3 or x>1

x<−3 or x>1
x<−3 or x>1

x≤−3 or x≥1
x≤−3 or x≥1

x<−3 and x>1
x<−3 and x>1
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1 answer

To answer your question accurately, I would need to see the graph you mentioned. However, I can help you understand how to interpret interval notation and graph inequality expressions.

  1. x ≤ -3: This means all values of x that are less than or equal to -3.
  2. x < -3: This means all values of x that are less than -3 (not including -3).
  3. x > 1: This means all values of x that are greater than 1 (not including 1).
  4. x ≥ 1: This means all values of x that are greater than or equal to 1.

If the graph shows a shaded area to the left of -3 including -3 (a closed dot at -3) and a shaded area to the right of 1 (an open dot at 1), then the correct answer would be:

  • x ≤ -3 or x > 1

If the graph shows a shaded area to the left of -3 (not including -3) and a shaded area to the right of 1 (not including 1), then the correct answer would be:

  • x < -3 or x > 1

If the graph shows a shaded area to the left of -3 including -3 and a shaded area to the right of 1 including 1, then the answer would be:

  • x ≤ -3 or x ≥ 1

If it shows a shaded area that only includes both extremes with an intersection, then you might see:

  • x < -3 and x > 1 (but this is generally not a valid scenario for 'and' due to the properties of numbers).

Once you have more info about the graph, you can match it with the statements above to find the right answer. Please provide the graph or describe it for more detailed help!