Solve |2 - 3x| > 2 + 3x - x2
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Answer:
Using GC,
x < 0 and x > 2
Showing posts with label A lvl H2 Maths: Inequalities. Show all posts
Showing posts with label A lvl H2 Maths: Inequalities. Show all posts
A lvl H2 Maths: Inequalities
Answer:
Using GC,
x < 0 and x > 2
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A lvl H2 Maths: Inequalities
Question from http://www.sgforums.com/forums/2297/topics/343748
Find the set of values of x for which (ex2) / (x-1) - 8x > 0.
Hence, solve (ex2) / ( |x| - 1) - |8x| > 0.
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Answer:
Plot
(i) y = (ex2) / (x-1)
(ii) y = 8x
For (ex2) / (x-1) > 8x,
-1.9587 <> 0.9999
(ex2) / ( |x| - 1) - |8x| > 0
(e|x|2) / ( |x| - 1) - 8|x| > 0
Sub x = |x|
-1.9587 < |x| < -0.1138 (reject) , |x| > 0.9999
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