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6th grade Write and graph x > c, x < c worksheet

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Write and graph x > c, x < c

Grade 6 Math Worksheet

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

  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?

  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?

  3. Milo reads the sign at the bumper cars: 42 inches is the shortest height allowed. Let x be a child's height in inches. What inequality for x does the sign show?

  4. 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?

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

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

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

    Use the picture in question 5.

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

  8. 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

  9. 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

  11. 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 one number works: 26.
    • 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.

  12. 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.

    • Many numbers work, such as 44.5 and 30. There are infinitely many solutions.
    • Only one number works: 44.
    • Only whole numbers work: 44, 43, 42 and so on, because decimals are not allowed here
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6th grade Write and graph x > c, x < c worksheet – printable
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About this worksheet

Writing and graphing inequalities. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can write an inequality like x > 12 or x ≤ 8 for a situation in words.
  • I can show it on a number line with the right circle (open or closed) and the right direction.

Standard: 6.EE.B.8

Words to know

inequality: A math sentence that compares two amounts with <, >, ≤ or ≥.

solution: Any number that makes the inequality true.

open circle: On a number line, a circle that leaves the number out.

closed circle: A filled-in circle that keeps the number in.

at least: That number or more. It uses ≥.

at most: That number or less. It uses ≤.

Common mistakes

Your child wrote the inequality sign pointing the wrong way, so it says the opposite of the story. Try asking "is x the bigger amount or the smaller one?" and draw two bars to check.

Your child wrote "at least" or "at most" with a plain > or <, which leaves out the number itself. Try asking "can x be exactly that number?" If it can, the sign needs a line under it (≥ or ≤).

Your child mixed up the open and closed circles on the number line. Try this rule together: an open circle leaves the number out, and a closed (filled-in) circle keeps it in.

Questions parents ask

What is the most common mistake with write and graph x > c, x < c?

Your child wrote the inequality sign pointing the wrong way, so it says the opposite of the story. Try asking "is x the bigger amount or the smaller one?" and draw two bars to check.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

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