current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1314520 >√(x^x^x^x^x^x^x^x^x) >5201314 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1314520 > √ ( x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ) (1)
√ ( x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ) >5201314 (2)
From the definition field of √
x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ^ x ≥ 0 (3 )
From inequality(1):
x < 1.653957
From inequality(2):
x > 1.669484
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (4)
From inequalities (3) and (4)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !