Q: Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

A: Yes, but with the following two rules to remember. If you multiply or divide both sides by a negative number, then the inequality sign is reversed (> becomes ). Adding and subtracting numbers have no effect on the direction of the inequality. [ Also, if you have a 'not equals' sign, then it is unaffected by the multiplication.
The same is true if you take the reciprocal of both sides.

Example: with the equation: 1/x = 2, take the reciprocal and x = 1/2. With the inequality 1/x 1/2. You could also solve it by multiplying both sides by x, then dividing both sides by 2, and get 2 2.
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tiffanylatrelle|Points 85|

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