In a linear inequality the variable is only present raised to the first power (which is usually not explicitly shown). In a quadratic the square of the variable is present (or implied).
The square can be implied in an inequality such as x + 1/x < 6 (x not 0)
This is equivalent to x2 - 6x + 1 < 0
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The answer depends on the nature of the inequality: whether it is linear, quadratic or has some other functional form.
You can easily tell by substituting 0 for a.
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
It is a quadratic equation that normally has two solutions
Linear.