Let's analyze each question based on the inequalities given.
Question 5: Describe the graph of the inequality c < -13.
This inequality states that c is less than -13. When graphing this on a number line:
- Since it is a "less than" inequality (<), we use an open circle on -13 to indicate that -13 itself is not included in the solution.
- The arrow will point to the left to show all values less than -13.
Correct option: The graph will have an open circle and the arrow will be pointing to the left.
Question 6: Describe the graph of the inequality y ≤ -12.
This inequality states that y is less than or equal to -12. In graphing this:
- Because it is a "less than or equal to" inequality (≤), we use a closed circle on -12 to indicate that -12 is included in the solution.
- The arrow will point downwards, representing all values less than -12 on the y-axis. However, since none of the given options directly reference the downward direction, this may lead to some confusion. But, interpreting the options given in the context of the number line could still apply to horizontal orientations in the sense of values.
Correct option: None of the options truly describe this correctly as they describe horizontal movement.
Question 7: Describe the graph of the inequality a > -7.
Here, the inequality states that a is greater than -7. When graphing:
- This is a "greater than" inequality (>), so we will use an open circle on -7 to indicate that -7 itself is not included in the solution.
- The arrow will point to the right to show all values greater than -7.
Correct option: The graph will have an open circle and the arrow will be pointing to the right.