Solving inequalities
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Page 569 Problem 14
3x-x^2
Page 577 Problem 88 solve and graph
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Solution Summary
This provides two examples of solving and graphing inequalities.
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Math Solutions
Page 569 Problem 14 : solve 3x - x 2 > 0
Solution: we have on simplification 3x - x 2 = x ( 3 - x )
With the inequality , it becomes ... x ( 3 - x ) > 0
That makes two options ... either both got to be positive or both got to be negative .
Case (i) : when both are positive ... x > 0 and ( 3 - x ) > 0
Consider the second part here ... 3 - x > 0
which would be ... - x > - 3
That reduces further to .... x < 3
Combining both the parts we get our first solution region as : x > 0 and x < 3
...
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