An equation is a statement with symbols, that includes the equal sign. Examples:
y = 5
5z + 3 = 10
An inequality is similar, but instead of the equal sign, it has a less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. Examples:
5x + 3 > 10
x < 15
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equations have an = sign, inequalities do not
A system of equations can have any number of inequalities.
Inequalities are not reflexive. Inequalities are not commutative.
Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =
To solve it by coordinate graphs you would take a point from the line and plug in the X and Y value into the equations and or inequalities.