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Lesson 6: Understand and Write Inequalities — Practice Questions

  1. 1. Which of the following values for $y$ makes the inequality $y > 11$ true?

    • A. 9
    • B. 10.5
    • C. 11
    • D. 11.2
  2. 2. What is the smallest integer that is a solution to the inequality $k > 25$? ___

  3. 3. Is the number 15 a solution to the inequality $x \geq 15$?

    • A. Yes, because 15 is greater than 15.
    • B. No, because only numbers larger than 15 are solutions.
    • C. Yes, because 15 is equal to 15, which satisfies the 'greater than or equal to' condition.
    • D. No, because 15 is not strictly greater than 15.
  4. 4. A movie ticket costs 12 dollars. You have a gift card and want to spend at most 12 dollars. If $c$ is the cost, this is written as $c \leq 12$. Is a cost of 12 dollars a solution? (Yes/No) ___

  5. 5. Which of the following values for `m` makes the inequality `m > 20` true?

    • A. 19
    • B. 20
    • C. 20.5
    • D. 19.9
  6. 6. A movie ticket is cheaper for children 12 years old or younger. If `a` represents a child's age, this rule is written as the inequality `a \leq ___`.

  7. 7. Is the value `k = 25` a solution to the inequality `k \geq 25`?

    • A. Yes, because 25 is greater than 25.
    • B. No, because 25 is not strictly greater than 25.
    • C. Yes, because 25 is equal to 25, which satisfies the condition.
    • D. No, because only numbers larger than 25 are solutions.
  8. 8. Which of the following values is NOT a solution to the inequality $w < 14$?

    • A. 13
    • B. 13.9
    • C. 14
    • D. 0
  9. 9. What is the smallest integer that makes the inequality `x > 10` true?