Grade 6 Mathematics · Unit 8: Equations & InequalitiesStandard 6.AT.9

Lesson 8.4Representing Inequalities

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can write inequalities to represent real-world situations.

Remember8.4 · Part II

Writing & Representing Inequalities

  1. 'At least', 'minimum', 'no less than' translate to ≥ (greater than or equal to)
  2. 'At most', 'maximum', 'no more than' translate to ≤ (less than or equal to)
  3. 'More than' is >; 'Fewer than' / 'Less than' is <

Words: Inequality (Desigualdad)Greater than (Mayor que)Less than (Menor que)At least / At most (Al menos / A lo más)Variable (Variable)

  1. 1Complete each step, then write the final answer.

    The temperature is less than 30 degrees. Which symbol goes in the box: t ☐ 30?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    A theater holds no more than 250 people. Which symbol goes in the box: p ☐ 250?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Players need a minimum of 3 hours of practice each week. Which symbol goes in the box: h ☐ 3?

    Show your work
    Final answer:
  4. 4Circle the letter of the best answer. Show how you know.

    A parking lot has fewer than 40 empty spaces. Which inequality shows the number of empty spaces s?

    1. As < 40
    2. Bs ≤ 40
    3. Cs > 40
    4. Ds ≥ 40
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    A bridge sign says: "Trucks over 12 tons may not cross." Which inequality shows the weight w of a truck that may cross?

    1. Aw ≤ 12
    2. Bw < 12
    3. Cw > 12
    4. Dw ≥ 12
    Show your work
  6. 6Complete each step, then write the final answer.

    A number n is at least 4 and less than 9. How many whole numbers can n be?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    Which inequality represents: 'The temperature is less than 40 degrees'?

    1. At < 40
    2. Bt > 40
    3. Ct ≤ 40
    4. Dt = 40
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Which inequality represents: 'You must be at least 48 inches tall to ride'?

    1. Ah ≥ 48
    2. Bh > 48
    3. Ch < 48
    4. Dh ≤ 48
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which inequality represents: 'A store can hold no more than 75 people'?

    1. Ap ≤ 75
    2. Bp < 75
    3. Cp ≥ 75
    4. Dp > 75
    Show your work
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