An inequality is a statement that two expressions are not equal.
Inequality Statement | Equation |
x is at least 3 | x ≥ 3 |
y is at most 9 | y <= 9 |
z is between 2 and 4 | 2 < z < 4 |
x is less than 3 | X < 3 |
y is more than 9 | Y > 9 |
You can solve inequalities in the same way you can solve equations, by following these rules:
(the value of X could be 1, 2, 3, 4, 5, or 6)
Inequalities
Graphing Inequalities
Properties of Inequalities
Representing Inequalities on a Number Line
Inequalities on a Number Line
Reversal Property of Inequality
Solving and Graphing Linear Inequalities
Double Inequalities (a<X<b)
Double Inequalities (a<X<b) 2
IQ02 Linear_Inequalities
IQ03 One_Step_Inequalities
IQ04 Two_Step_Inequalities
IQ01 Inequalities_Word Problems
Inequalities Properties (Help)
Inequalities (Writing)
Graphing Inequalities on Number Lines.
The graph of a linear inequality in one variable is a number line. When we graph an inequality on a number line we use open and closed circles to represent the number. The open circle means the number is not included in the solution
X>5 means that whatever value x has, it must be greater than 5. The open dot shows that 5 is not a solution. Numbers greater than 5 are to the right of 5 on the number line.
The closed circle means the number is included in the solution. X ≥ 5 means that whatever value x has, it must be greater than or equal to 5
Numbers less than 5 are to the left of 5 on the number line. X<5 means x can be any value less than 5
Reversal property of inequality
If a < b then b > a