7.5 Classwork (1)

Part 1 Activity: Understanding Inequality Statements

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1a. Read the statement. Circle each number that makes the statement true, and then answer the questions.

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1a. · What do you notice about the numbers that you circled?

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1a. · Is the number 3 included? Why or why not?

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1a. · Write four other numbers that make the statement true.

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1b. Read the statement. Circle each number that makes the statement true, and then answer the questions.

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1b. · What do you notice about the numbers that you circled?

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1b. · Can the temperature be exactly 2 degrees? Explain.

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1b. · Write four other numbers that make the statement true.

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1c. Read the statement. Circle each number that makes the statement true, and then answer the questions.

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1c. · What do you notice about the numbers that you circled?

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1c. · Can you have exactly 4 pieces of paper? Explain.

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1c. · Write four other numbers that make the statement true.

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1d. Read the statement. Circle each number that makes the statement true, and then answer the questions.

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1d. · What do you notice about the numbers that you circled?

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1d. · Is the number 6 included? Why or why not?

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1d. · Write four other numbers that make the statement true.

Part 2 Activity: Understanding Inequality Symbols

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2a. Consider the statement “x is a number such that x < 2.”

· Can the number be exactly 2? Explain.

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2a. Consider the statement “x is a number such that x < 2.”

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2a. Consider the statement “x is a number such that x < 2.”

· Write four other numbers that make the statement true.

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2b. Consider the statement “x is a number such that x ≥ 1.”

· Can the number be exactly 1? Explain.

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2b. Consider the statement “x is a number such that x ≥ 1.”

· Circle each number that makes the statement true.

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2b. Consider the statement “x is a number such that x ≥ 1.”

· Write four other numbers that make the statement true.

Part 3 Activity: How Close Can You Come to 0?

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3a. Which number line shows x > 0? Which number line shows x ≥ 0? Write the inequality next to the corresponding number line.

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7.5 Classwork (1)

1a. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1a. · What do you notice about the numbers that you circled?

1a. · Is the number 3 included? Why or why not?

1a. · Write four other numbers that make the statement true.

1b. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1b. · What do you notice about the numbers that you circled?

1b. · Can the temperature be exactly 2 degrees? Explain.

1b. · Write four other numbers that make the statement true.

1c. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1c. · What do you notice about the numbers that you circled?

1c. · Can you have exactly 4 pieces of paper? Explain.

1c. · Write four other numbers that make the statement true.

1d. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1d. · What do you notice about the numbers that you circled?

1d. · Is the number 6 included? Why or why not?

1d. · Write four other numbers that make the statement true.

2a. Consider the statement “x is a number such that x < 2.”· Can the number be exactly 2? Explain.

2a. Consider the statement “x is a number such that x < 2.”

2a. Consider the statement “x is a number such that x < 2.”· Write four other numbers that make the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”· Can the number be exactly 1? Explain.

2b. Consider the statement “x is a number such that x ≥ 1.”· Circle each number that makes the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”· Write four other numbers that make the statement true.

3a. Which number line shows x > 0? Which number line shows x ≥ 0? Write the inequality next to the corresponding number line.

3b. Write the least positive number you can think of that is still a solution of the inequality x > 0? Explain your reasoning.

1a. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1a. · What do you notice about the numbers that you circled?

1a. · Is the number 3 included? Why or why not?

1a. · Write four other numbers that make the statement true.

1b. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1b. · What do you notice about the numbers that you circled?

1b. · Can the temperature be exactly 2 degrees? Explain.

1b. · Write four other numbers that make the statement true.

1c. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1c. · What do you notice about the numbers that you circled?

1c. · Can you have exactly 4 pieces of paper? Explain.

1c. · Write four other numbers that make the statement true.

1d. Read the statement. Circle each number that makes the statement true, and then answer the questions.

1d. · What do you notice about the numbers that you circled?

1d. · Is the number 6 included? Why or why not?

1d. · Write four other numbers that make the statement true.

2a. Consider the statement “x is a number such that x < 2.”· Can the number be exactly 2? Explain.

2a. Consider the statement “x is a number such that x < 2.”

2a. Consider the statement “x is a number such that x < 2.”· Write four other numbers that make the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”· Can the number be exactly 1? Explain.

2b. Consider the statement “x is a number such that x ≥ 1.”· Circle each number that makes the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”· Write four other numbers that make the statement true.

3a. Which number line shows x > 0? Which number line shows x ≥ 0? Write the inequality next to the corresponding number line.

3b. Write the least positive number you can think of that is still a solution of the inequality x > 0? Explain your reasoning.

2a. Consider the statement “x is a number such that x < 2.”

· Can the number be exactly 2? Explain.

2a. Consider the statement “x is a number such that x < 2.”

· Write four other numbers that make the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Can the number be exactly 1? Explain.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Circle each number that makes the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Write four other numbers that make the statement true.

2a. Consider the statement “x is a number such that x < 2.”

· Can the number be exactly 2? Explain.

2a. Consider the statement “x is a number such that x < 2.”

· Write four other numbers that make the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Can the number be exactly 1? Explain.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Circle each number that makes the statement true.

2b. Consider the statement “x is a number such that x ≥ 1.”

· Write four other numbers that make the statement true.