Inequalities on a number line

The Maths Habit Handout to print

The speed limit is 30 mph.
What speeds are allowed?
Is 30 mph allowed?

Any speed up to 30 mph, and 30 mph itself

True or false?

  1. −3 > −5

    True

  2. −1 < −4

    False

  3. 0 > −2

    True

  4. −6 ≥ −6

    True

Inequality
A statement that compares two values using <, >, ≤ or ≥.

Show x ≥ −2 on the number line. Closed circle, arrow right

−5−4−3−2−1012345

Show x < 3 on the number line. Open circle, arrow left

−5−4−3−2−1012345

Show x ≥ −2 on the number line. Closed circle, arrow right

−5−4−3−2−1012345

Show −1 < x ≤ 4 on the number line. Open at −1, closed at 4

−5−4−3−2−1012345

Inequalities on a number line worksheet, page 1

Answer sheet

  1. x is a whole number and −3 < x < 3. How many values can x take?

    5

  2. n is a whole number and 2n ≤ 9. What is the largest value of n?

    4

  3. A number line has a closed circle at −3 and an arrow pointing left. Write the inequality it shows.

    x ≤ −3

  1. Write the inequality shown on the number line.

    x ≥ −1
    −4−3−2−101234

  2. Show −2 ≤ x < 3 on the number line.

    closed at −2, open at 3
    −4−3−2−101234

  3. Eli lists the whole numbers that satisfy −3 < x ≤ 1 as −3, −2, −1, 0, 1. Correct his list.

    −2, −1, 0, 1
Exit tickets to print