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Unformatted text preview: solving linear inequalities. We will use the following set of
facts in our solving of inequalities. Note that the facts are given for <. We can however, write
down an equivalent set of facts for the remaining three inequalities.
1. If a < b then a + c < b + c and a - c < b - c for any number c. In other words, we can
add or subtract a number to both sides of the inequality and we don’t change the
inequality itself. © 2007 Paul Dawkins 123 http://tutorial.math.lamar.edu/terms.aspx College Algebra 2. If a < b and c > 0 then ac < bc and ab
< . So, provided c is a positive number we
cc can multiply or divide both sides of an inequality by the number without changing the
3. If a < b and c < 0 then ac > bc and ab
> . In this case, unlike the previous fact, if c
cc is negative we need to flip the direction of the inequality when we multiply or divide both
sides by the inequality by c.
These are nearly the same facts that we used to solve linear equations. The only real exception is
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- Spring '12