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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1-!(26280)/(26280^x)/!(26280-x) <0.005 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 - !( 26280 ) / ( 26280 ^ x ) / !( 26280 - x ) <0.005 (1)
From the definition field of divisor
26280 ^ x ≠ 0 (2 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < -74034691/1000000 或 -74034691/1000000 < x < -14790963/200000 或 -14790963/200000 < x < -36937469/500000 或 -36937469/500000 < x < -36897531/500000 或 -36897531/500000 < x < -14743037/200000 或 -14743037/200000 < x < -73635309/1000000 或 -73635309/1000000 < x < -9194429/125000 或 -9194429/125000 < x < -18368889/250000 或 -18368889/250000 < x < -73395679/1000000 或 -73395679/1000000 < x < -36657901/500000 或 x > -36657901/500000
From inequalities (1) and (2)
x < -74034691/1000000 或 -74034691/1000000 < x < -14790963/200000 或 -14790963/200000 < x < -36937469/500000 或 -36937469/500000 < x < -36897531/500000 或 -36897531/500000 < x < -14743037/200000 或 -14743037/200000 < x < -73635309/1000000 或 -73635309/1000000 < x < -9194429/125000 或 -9194429/125000 < x < -18368889/250000 或 -18368889/250000 < x < -73395679/1000000 或 -73395679/1000000 < x < -36657901/500000 或 x > -36657901/500000 (3)
The final solution set is :
x < -74034691/1000000 或 -74034691/1000000 < x < -14790963/200000 或 -14790963/200000 < x < -36937469/500000 或 -36937469/500000 < x < -36897531/500000 或 -36897531/500000 < x < -14743037/200000 或 -14743037/200000 < x < -73635309/1000000 或 -73635309/1000000 < x < -9194429/125000 或 -9194429/125000 < x < -18368889/250000 或 -18368889/250000 < x < -73395679/1000000 或 -73395679/1000000 < x < -36657901/500000 或 x > -36657901/500000Your problem has not been solved here? Please take a look at the hot problems !