Write and graph x > c, x < c

Answer Key - Grade 6 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Kira reads the sign at the big train ride: only riders over 48 inches tall may ride. Let x be a rider's height in inches. What inequality for x does the sign show?

   x > 48
2. 2.

   Noah packs a backpack that may weigh a maximum of 22 pounds. Let x be the weight of the backpack in pounds. What inequality for x fits?

   x ≤ 22
3. 3.

   Pia wants to read for a minimum of 60 minutes tonight. Let x be the number of minutes Pia reads. What inequality for x fits?

   x ≥ 60
4. 4.

   The school bus Ren rides can hold at most 72 riders. Let x be the number of riders. What inequality for x fits?

   x ≤ 72
5. 5.

   Tala checks a clue: which number line shows x > 30?

   • a closed circle at 30, shaded to the right
   • an open circle at 30, shaded to the left
   • an open circle at 30, shaded to the right
6. 6.

   Jun reads a number line. Which inequality in x does the number line with a circle at 20 show?

   • x ≥ 20
   • x > 20
   • x < 20
7. 7.

   Luz reads a number line. Which inequality in x does the number line with a circle at 60 show?

   • x ≥ 60
   • x ≤ 60
   • x > 60
9. 8.

   Milo's bathtub holds more than 25 liters of water, so x > 25, where x is the number of liters. Which statement is true?

   • Only whole numbers work: 26, 27, 28 and so on, since fractions and decimals do not count
   • Only one number works: 26.
   • Many numbers work, such as 26.5 and 40. There are infinitely many solutions.
10. 9.

    Noah's bookshelf must be shorter than 45 inches to fit under a window, so x < 45, where x is the number of inches. Which statement is true?

    Use the picture in question 8.

    • Only one number works: 44.
    • Only whole numbers work: 44, 43, 42 and so on, because decimals are not allowed here
    • Many numbers work, such as 44.5 and 30. There are infinitely many solutions.
11. 10.

    Pia's bus ride takes at most 55 minutes, so x ≤ 55, where x is the number of minutes. Which statement is true?

    Use the picture in question 8.

    • Only whole numbers work: 55, 54, 53 and so on.
    • Many numbers work, such as 54.5 and 30. There are infinitely many solutions.
    • Only one number works: 55.