# Equal, Greater or Less Than

Here is a summary:

Symbol | Words | Example Use |
---|---|---|

= | equals | 1 + 1 = 2 |

≠ | not equal to | 1 + 1 = 1 |

> | greater than | 6 > 3 |

< | less than | 5 < 9 |

≥ | greater than or equal to | x ≥ 1 |

≤ | less than or equal to | y ≤ 3 |

To remember which way around they go, just remember **BIG>small** or **small<BIG**:

### Why would you use these?

Because there are things you do not know *exactly*, but can still say *something* about.

**Example 1:** Paul has $10 and he is going shopping. How much will she spend (without credit)?

**Answer:** Something greater than, or possibly equal to $0 and less than or possibly equal to $10:

**Paul Spends ≥ $0Paul Spends ≤ $10**

This can be written down in just one line

**$0 ≤ Paul Spends ≤ $10**

(note that "≥" had to be flipped over to "≤" when we put it *before* what Paul spends - always make sure the small end points to the small value)

**Example 2:** Paul comes back with something he has bought and says "and I got change". How much did she spend?

**Answer:** Something greater than $0 and less than $10 (but NOT $0 or $10):

**$0 < Paul Spends < $10**

** Example 3:** What is x+3, when you know that x is greater than 1?

*If* x > 1 , *then* x+3 > 4

Document Actions