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Solution inequality：
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
It supports mathematical functions (including trigonometric functions).
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 (x^6+x^5-45)/(√(9+x^2)) >√(x^-5)+7 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
( x ^ 6 + x ^ 5 - 45 ) / ( √ ( 9 + x ^ 2 ) ) > √ ( x ^ -5 ) + 7 (1)
From the definition field of √
9 + x ^ 2 ≥ 0 (2 )
From the definition field of divisor
√ ( 9 + x ^ 2 ) ≠ 0 (3 )
From the definition field of √
x ^ -5 ≥ 0 (4 )
From inequality(1)：
x < 0 或 x ＞ 1.894094
From inequality(2)：
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3)：
x ∈ R （R为全体实数），即在实数范围内，不等式恒成立！
From inequality(4)：
x ≥ 0
From inequalities (1) and (2)
x < 0 或 x ＞ 1.894094 (5)
From inequalities (3) and (5)
x < 0 或 x ＞ 1.894094 (6)
From inequalities (4) and (6)
x ＞ 1.894094 (7)
The final solution set is :
x ＞ 1.894094