Lesson 8.68.6 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can solve an inequality and graph its solution set on a number line — one step at a time, with support.
Remember8.6 Small Group · Group 1
Use inverse operations to get the variable alone, keep the same symbol, and graph the boundary with the right circle and shading. Solve an inequality like an equation, with inverse operations. Then graph every solution on a number line.
Words: Solve (Resolver)Graph (Graficar)Solution (Solución)Substitute (Sustituir)Solution set (Conjunto solución)
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1Complete each step, then write the final answer.
Solve x + 2 ≥ 9. What is the smallest value of x that makes it true?
Show your workHint Subtract 2 from both sides. The symbol ≥ includes the boundary number.
Final answer: -
2Complete each step, then write the final answer.
Solve x − 6 < 9. What is the boundary number?
Show your workHint 6 is subtracted from x. Add 6 to both sides.
Final answer: -
3Complete each step, then write the final answer.
A bus can carry at most 40 people. 23 people are already on it. Write and solve an inequality for the number of people p who can still get on. What is the greatest number?
Show your workHint The people on the bus plus the new people is at most 40. Write 23 + p ≤ 40.
Final answer: -
4Complete each step, then write the final answer.
Solve 12 < x − 3. What is the smallest whole number that makes it true?
Show your workHint Add 3 to both sides. Then read it with x first. Is the boundary included?
Final answer:
Explain your thinkingHow is solving x + 6 > 20 like solving x + 6 = 20? How is the answer different?
Sentence starter The steps are the same because I ___. · The answer is different because ___.