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.

   35 minutes is more than the time Luz has before dinner. Let x be the number of minutes Luz has. What inequality for x fits?

   x < 35
3. 3.

   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
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
6. 5.

   Zee checks a clue: which number line shows x < 70?

   • an open circle at 70, shaded to the right
   • a closed circle at 70, shaded to the left
   • an open circle at 70, shaded to the left
7. 6.

   Ari checks a clue: which number line shows x ≥ 50?

   Use the picture in question 5.

   • a closed circle at 50, shaded to the left
   • a closed circle at 50, shaded to the right
   • an open circle at 50, shaded to the right
8. 7.

   Esme reads a number line. Which inequality in x does the number line with a circle at 90 show?

   • x ≤ 90
   • x ≥ 90
   • x < 90
9. 8.

   Kira reads a number line. Which inequality in x does the number line with a circle at 40 show?

   • x < 40
   • x > 40
   • x ≤ 40
11. 9.

    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
    • Many numbers work, such as 26.5 and 40. There are infinitely many solutions.
    • Only one number works: 26.
12. 10.

    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 9.

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