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# Inequality

For any two numbers $$a$$ and $$b$$, the law of trichotomy states that exactly one of the following must be true:

• $$a = b$$, so that $$a$$ is equal to $$b$$,
• $$a < b$$, so that $$a$$ is less than $$b$$, or
• $$a > b$$, so that $$a$$ is greater than $$b$$.

For example, the statement $$x > 2$$ refers to all the numbers greater than 2 only, whereas $$x \geq 2$$ refers to all of those numbers but also to 2 itself.

Note by Arron Kau
2 years, 9 months ago