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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1-!(72)/(72^x)/!(72-x) <0.005 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 - !( 72 ) / ( 72 ^ x ) / !( 72 - x ) <0.005 (1)
From the definition field of divisor
72 ^ 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 < -175.078519 或 -175.078519 < x < -174.998642 或 -174.998642 < x < -174.918765 或 -174.918765 < x < -174.838889 或 -174.838889 < x < -174.759012 或 -174.759012 < x < -174.679136 或 -174.679136 < x < -1745818/9999 或 -1745818/9999 < x < -174.519383 或 -174.519383 < x < -174.439506 或 -174.439506 < x < -17435963/100000 或 x > -17435963/100000
From inequalities (1) and (2)
x < -175.078519 或 -175.078519 < x < -174.998642 或 -174.998642 < x < -174.918765 或 -174.918765 < x < -174.838889 或 -174.838889 < x < -174.759012 或 -174.759012 < x < -174.679136 或 -174.679136 < x < -1745818/9999 或 -1745818/9999 < x < -174.519383 或 -174.519383 < x < -174.439506 或 -174.439506 < x < -17435963/100000 或 x > -17435963/100000 (3)
The final solution set is :
x < -175.078519 或 -175.078519 < x < -174.998642 或 -174.998642 < x < -174.918765 或 -174.918765 < x < -174.838889 或 -174.838889 < x < -174.759012 或 -174.759012 < x < -174.679136 或 -174.679136 < x < -1745818/9999 或 -1745818/9999 < x < -174.519383 或 -174.519383 < x < -174.439506 或 -174.439506 < x < -17435963/100000 或 x > -17435963/100000Your problem has not been solved here? Please take a look at the hot problems !