Inequalities

Exercise 5.

Write down the set of solutions to the inequality

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in all three notations.

Solution.

Let's find the solutions!

Add x on both sides and simplify:

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Subtract 3 on both sides and simplify:

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Divide by 2 and switch sides:

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Our set of solutions is a "ray":

In interval notation we write this as

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in set notation as:

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Helmut Knaust
Fri Jul 18 12:25:20 MDT 1997

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