Inequalities

Exercise 2:

Solve the inequality

displaymath231

Solution.

Start by subtracting 5 on both sides (Rule 1):

displaymath245

to obtain

displaymath246

then divide by (-3) on both sides, turning " tex2html_wrap_inline201 " around (Rule 3b):

displaymath247

or simplified:

displaymath248

The set of solutions consists of all real numbers greater than or equal to 2/3.

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Helmut Knaust
Fri Jul 11 14:32:40 MDT 1997

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