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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 0 <(10－x）÷(√((x－6)∧2+4）×√((8－3x÷2)∧2＋1）) ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        0 < ( 10 - x ) ÷ ( √ ( ( x - 6 ) ^ 2 + 4 ) × √ ( ( 8 - 3 * x ÷ 2 ) ^ 2 + 1 ) )         (1)
         ( 10 - x ) ÷ ( √ ( ( x - 6 ) ^ 2 + 4 ) × √ ( ( 8 - 3 * x ÷ 2 ) ^ 2 + 1 ) ) ≤1         (2)
        From the definition field of √
         ( x - 6 ) ^ 2 + 4 ≥ 0        (3 )
        From the definition field of √
         ( 8 - 3 * x ÷ 2 ) ^ 2 + 1 ≥ 0        (4 )

---

    From inequality(1)：
         x < 10
    From inequality(2)：
         x ≤ 4.076065 或  x ≥ 6.336305
    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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

---

    From inequalities (1) and (2)
         x ≤ 4.076065 或  6.336305 ≤ x < 10    (5)
    From inequalities (3) and (5)
         x ≤ 4.076065 或  6.336305 ≤ x < 10    (6)
    From inequalities (4) and (6)
         x ≤ 4.076065 或  6.336305 ≤ x < 10    (7)

---

    The final solution set is :
         x ≤ 4.076065 或  6.336305 ≤ x < 10

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