Inequality tells us about the relative size of two values.
The 4 Inequalities
Symbol | Words | Example |
> | greater than | x+3 > 2 |
< | less than | 7x < 28 |
≥ | greater than or equal to | 5 ≥ x-1 |
≤ | less than or equal to | 2y+1 ≤ 7 |
There are many inequalities between means. For example, for any positive numbers a1, a2, an we have H ≤ G ≤ A ≤ Q, where
For any two real numbers a and b, exactly one of the following is true.
i. a < b
ii. a = b
iii. a > b
When working with quadratic equations and inequalities in one variable;
Linear Equations and Inequalities in Two Variables: A linear equation in two variables is an equation which may be written in the form Ax + By = C where A, B, and C are real numbers and B is not zero. A linear inequality in two variables x and y is an inequality which can be written as
Ax + By < C,
Ax + By > C.
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