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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality √(x+√(2x-1))-√(x-√(2x-1)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         √ ( x + √ ( 2 * x - 1 ) ) - √ ( x - √ ( 2 * x - 1 ) ) >0         (1)
        From the definition field of √
         2 * x - 1 ≥ 0        (2 )
        From the definition field of √
         x + √ ( 2 * x - 1 ) ≥ 0        (3 )
        From the definition field of √
         2 * x - 1 ≥ 0        (4 )
        From the definition field of √
         x - √ ( 2 * x - 1 ) ≥ 0        (5 )

---

    From inequality(1)：
         x ＞ 1/2
    From inequality(2)：
         x ≥ 1/2
    From inequality(3)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(4)：
         x ≥ 1/2
    From inequality(5)：
         x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1

---

    From inequalities (1) and (2)
         x ＞ 1/2    (6)
    From inequalities (3) and (6)
         x ＞ 1/2    (7)
    From inequalities (4) and (7)
         x ＞ 1/2    (8)
    From inequalities (5) and (8)
         1/2 < x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1    (9)

---

    The final solution set is :
         1/2 < x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1

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