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Solve inequality 0.2^x>0.4?
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High School Teacher
Define a function
Let us draw its graph
From graph we can conclude that f(x) is positive at (x=0) and negative at (x=1) . f is continuous function changes its sign between 0 and 1. Thus there exist a point in between 0 and 1 where f(x)=0
From graph ,let estimate the point
f(.6) s negative and f(.5) is positive
Thus by bisection method x=.55 is point where f(x)=0
Thus solution of the problem is
-oo < x <=.55
( minus infinity is less than x is less than or equals to .55 )
Posted by aruv on July 11, 2013 at 5:29 PM (Answer #1)
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