3.1.1 Graphing and Writing Inequalities − Worksheet
Example 1:
Describe the solutions of each inequality in words.
1. g − 5 ≥ 6
2. − 2 < h + 1
3. 20 > 5 t
4. 5 − x ≤ 2
Example 2:
Graph each inequality.
1 2
5. x < − 5
6.
7. (4 − 2) 3 > m
8.
≥ c 3
≥ + p 17 8
Example 3:
Write the inequality shown by each graph.
1 2
9.
10.
–8
–6–5–4–3–2–1 0 1 2 3 4
–9–8–7–6–5–4–3–2–1 0 1
11.
12.
–4–3–2–10 1 2 3 4 5 6 5.5
–12 –10 –8 –6 –4 –2 0 –7
13.
14.
–2 0 2 4 6 8 1012141618
–4–3–2–10 1 2 3 4 5 6
Example 4: Define a variable and write an inequality for each situation. Graph the solutions. 15. There must be at least 20 club members present in order to hold a meeting.
16. A trainer advises an athlete to keep his heart rate under 140 beats per minute.
150
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