Lesson 8.58.5 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can graph the solutions of an inequality on a number line — one step at a time, with support.
Remember8.5 Small Group · Group 1
Use an open circle for < or >, a closed circle for ≤ or ≥, and shade toward the numbers that make the inequality true. A graph shows every solution of an inequality. The circle and the shading tell the whole story.
Words: Number line (Recta numérica)Open circle (Círculo abierto)Closed circle (Círculo cerrado)Solution set (Conjunto solución)Inequality (Desigualdad)
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1Circle the letter of the best answer. Show how you know.
Closed circle at 25, shaded to the left. A number line for a speed rule shows a closed circle at 25, shaded to the left. Which sentence matches it?
- AThe speed is at most 25 mph.
- BThe speed is less than 25 mph.
- CThe speed is at least 25 mph.
- DThe speed is more than 25 mph.
Hint Closed circle: is 25 allowed? Shaded left: are the speeds less or more than 25?
Show your work
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2Complete each step, then write the final answer.
Graph x > 4. Which circle do you draw at 4: open or closed?
Show your workHint Is 4 > 4 true? If 4 is not a solution, the circle is empty.
Final answer: -
3Complete each step, then write the final answer.
Graph x < 9. Which way do you shade from 9: left or right?
Show your workHint Pick a number less than 9, like 5. Is 5 < 9 true?
Final answer: -
4Complete each step, then write the final answer.
Open circle at 2.5. Which way do you shade? Graph x > 2.5. What is the least whole number in the shaded part?
Show your workHint The circle at 2.5 is between 2 and 3. Which whole numbers are to its right?
Final answer:
Explain your thinkingHow do the circle and the shading work together to show every solution? Use y ≥ 6 to explain.
Sentence starter The circle at ___ is ___ because ___. · I shade ___ because the solutions are ___.