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Grade 6 · Maths · Lessons
More than, less than
➡️ray⭕open circle⚫closed circle🔢inequality
More than, less than.
The big ideaAn inequality names a whole set of answers. A shaded ray shows them all.

How it works

An inequality names a whole set of answers. A shaded ray shows them all.

x < 2 means x is less than 2: the ray starts at 2 and points left. An open circle means 2 itself is not included.

'Fewer than 8 pages' is p < 8.

-2-10123456all less2 (open)
x < 2.

Example 1: The start of the ray

  1. x < 2.
  2. The ray starts at 2.
  3. It points left to show less than 2.

Example 2: Write it

  1. Sam read fewer than 8 pages. Let p be the pages he read.
  2. Fewer than means less than.
  3. p < 8.

Example 3: A temperature

  1. It is colder than 3 degrees above zero. Let t be the temperature.
  2. Colder means less than.
  3. t < 3.

Words to know

inequality
A statement that one amount is more or less than another.
ray
A line that starts at a point and goes on forever.

Watch out

Try it

  1. Write: 'more than 5' using x.
  2. Write: 'less than 10' using n.
  3. Does x < 4 include 4?
  4. Which way does the ray for x > 3 point?
Answers: 1. x > 5 · 2. n < 10 · 3. no · 4. right
For grown-upsSay rules like 'you must be taller than 120 cm' and write them as inequalities.
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