Algebra 1 3-6 Independent Practice: Compound Inequalities
By Matt Richardson
Last updated about 2 years ago
11 Questions
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1.
What compound inequality represents the phrase?
"all real numbers x that are greater than or equal to 0 and less than 8"
Write the inequality in the response field and graph the solutions on the canvas.
Write the inequality in simplest form and include relevant graph detail on the canvas.
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2.
What are the solutions of the compound inequality?
-4\leq r-5<-1
Solve the inequality, write its simplest form in the response field, and graph the solutions on the canvas.
Remember to include relevant graph detail.
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3.
Your test scores in science are 83 and 87. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?
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4.
Write the interval represented on the number line as an inequality.
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5.
Write the interval represented on the number line in interval notation.
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6.
Categorize each inequality based on whether it is a compound inequality.
- x>4 or x<-4
- 8\leq 5x<30
- 7x>42 or -5x\leq 10
- x\geq 6
- Compound inequality
- NOT a compound inequality
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7.
Error Analysis: A student writes the inequality in interval notation, as shown.
Explain why this is incorrect.
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8.
Reasoning: What are the solutions of the inequalities as a compound inequality?
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9.
Reasoning: What are the solutions of the compound in equality in interval notation?
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10.
Writing: Compare the graph of a compound inequality involving and with the graph of a compound inequality involving or. You may use the canvas to help illustrate your written response.
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11.
Reflection: Math Success
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