Subject: ≤ and ≥ true/false statements
Name: Ross
Who are you: Student

This is in 'Mathematics for Engineers' as an example...

7 ≤ 10 and 7 ≤ 7 are both true statements.

How can 7 be equal to 10, and 7 be less than 7? The book doesn't explain WHY!

Thanks for your help!

Hi Ross,

The statement 7 < 7, which means 7 is less than 7, is certainly false but the symbol ≤ represents "less than or equal to". Thus 7 ≤ 7 is true since 7 is equal to 7. The important word here is or. The compound statement "statement A or statement B" is true if either statement A is true or statement B is true.