Relationships Between Numbers

Comparison

Relationship established between two numbers, two sets, two terms or two expressions.

Symbols

To compare mathematical objects based on an order relation, we usually use the symbols <, >, =, ≤ and ≥.
  • The symbol < is read as "is less than" Example : 5 < 10.
  • The symbol > is read as "is greater than" Example : 10 > 5.
  • The symbol = is read as "is equal to" Example : 5 = 3 + 2.
  • The symbol ≤ is read as "is less than or equal to" Examples : 5 ≤ 10, x + 7 ≤ 10.
  • The symbol ≥ is read as "is greater than or equal to" Examples : 10 ≥ 5, x + 7 ≥ 10.

Examples

  • Here is a list of 3 numbers: 45, 46, 47. We can say that the greatest number is 47 and the least number is 45.
  • Here are four sets of sheep: A (34 sheep), B (45 sheep), C (67 sheep) and D (45 sheep). The set that has the most sheep is set C. The set that has the fewest sheep is set A. There are as many sheep in set B as there are in set D.
  • When we have 2 or more line segments, we can determine which is longest and which is shortest.

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