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Assignment:Find the solution set of inequality 0.2*0.9^x/(0.2*0.9^x+0.3*0.1^x+0.5*0.5^x) >= 0.9 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
0.2 * 0.9 ^ x / ( 0.2 * 0.9 ^ x + 0.3 * 0.1 ^ x + 0.5 * 0.5 ^ x ) >= 0.9 (1)
From the definition field of divisor
0.2 * 0.9 ^ x + 0.3 * 0.1 ^ x + 0.5 * 0.5 ^ x ≠ 0 (2 )
From inequality(1)：
x ≥ 5.297218
From inequality(2)：
x < 7059.108642 或 7059.108642 < x < 7063.049218 或 7063.049218 < x < 7066.989794 或 7066.989794 < x < 707093037/100000 或 707093037/100000 < x < 7074.870947 或 7074.870947 < x < 7078.811523 或 7078.811523 < x < 7082.752099 或 7082.752099 < x < 7086.692675 或 7086.692675 < x < 7090.633251 或 x ＞ 7090.633251
From inequalities (1) and (2)
5.297218 ≤ x < 7059.108642 或 7059.108642 < x < 7063.049218 或 7063.049218 < x < 7066.989794 或 7066.989794 < x < 707093037/100000 或 707093037/100000 < x < 7074.870947 或 7074.870947 < x < 7078.811523 或 7078.811523 < x < 7082.752099 或 7082.752099 < x < 7086.692675 或 7086.692675 < x < 7090.633251 或 x ＞ 7090.633251 (3)
The final solution set is :
5.297218 ≤ x < 7059.108642 或 7059.108642 < x < 7063.049218 或 7063.049218 < x < 7066.989794 或 7066.989794 < x < 707093037/100000 或 707093037/100000 < x < 7074.870947 或 7074.870947 < x < 7078.811523 或 7078.811523 < x < 7082.752099 或 7082.752099 < x < 7086.692675 或 7086.692675 < x < 7090.633251 或 x ＞ 7090.633251Your problem has not been solved here? Please take a look at the hot problems ！
