Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 1/(1+x^(1/8))     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
        1 / ( 1 + x ^ ( 1 / 8 ) ) < ln x / x ^ ( 1 / 2 )         (1)
        From the definition field of divisor
         1 + x ^ ( 1 / 8 ) ≠ 0        (2 )
        From the definition field of ln
        x > 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

---

    From inequality(1)：
         x ＞ 1.95346
    From inequality(2)：
         x ∈ R （R为全体实数），即在实数范围内，不等式恒成立！
    From inequality(3)：
         x ＞ 0
    From inequality(4)：
         x < 0 或  x ＞ 0

---

    From inequalities (1) and (2)
         x ＞ 1.95346    (5)
    From inequalities (3) and (5)
         x ＞ 1.95346    (6)
    From inequalities (4) and (6)
         x ＞ 1.95346    (7)

---

    The final solution set is :
         x ＞ 1.95346

Your problem has not been solved here? Please take a look at the  hot problems ！

Return