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Algebra - Linear Equations

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One fundamental difference between a linear equation and a linear inequality lies in the number of possible solutions. A linear equation has a finite (limited) number of solutions while the linear inequality has a range (set) of solutions.

I need an example of an equation and an inequality that expresses the above difference.

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Consider the linear equation 3x + 7 = 11. This can be solved as 3x = 11 - 7 = 4, and therefore x = 4/3.

Thus, x = 4/3 is a solution of the linear equation 3x + 7 = 11, and is the only solution.

Now consider ...

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