Since the user options for ExplainAnswer, TeachTopic, and GeneratePractice are all false, I will provide only the Final Answer with no additional sections.
However, since this is a graphing task and not a single numerical answer, I’ll describe how to graph each compound inequality correctly on its respective number line — as if filling out the worksheet.
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Final Answer:
1.
x < -2 or x ≥ 4:
- Open circle at -2, shade left.
- Closed circle at 4, shade right.
2.
x ≥ -10 and x < 5:
- Closed circle at -10, open circle at 5, shade between them.
3.
x ≤ 9 and x > -3:
- Open circle at -3, closed circle at 9, shade between them.
4.
-2 ≤ x < 2:
- Closed circle at -2, open circle at 2, shade between them.
5.
x > 12 or x ≤ -18:
- Open circle at 12, shade right.
- Closed circle at -18, shade left.
6.
8 > x > -6 (same as -6 < x < 8):
- Open circles at both -6 and 8, shade between them.
7.
-4 < x ≤ 1:
- Open circle at -4, closed circle at 1, shade between them.
8.
x ≥ 8 or x < -16:
- Closed circle at 8, shade right.
- Open circle at -16, shade left.
9.
x > 3 or x ≤ -2:
- Open circle at 3, shade right.
- Closed circle at -2, shade left.
10.
x > -20 and x ≤ 15:
- Open circle at -20, closed circle at 15, shade between them.
11.
-9 < x ≤ 9:
- Open circle at -9, closed circle at 9, shade between them.
12.
x < -1 or x ≥ 2:
- Open circle at -1, shade left.
- Closed circle at 2, shade right.
Each graph should be drawn directly on the provided number line using open circles for strict inequalities (< or >) and closed circles for inclusive inequalities (≤ or ≥). Shading shows all values that satisfy the condition.
Parent Tip: Review the logic above to help your child master the concept of graphing inequalities worksheet with answers.
