Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality 0 <(a+13-sqrt((a+13)*(a+13)-28(a*a-a-2)))/14 <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        0 < ( a + 13 - sqrt ( ( a + 13 ) * ( a + 13 ) - 28 * ( a * a - a - 2 ) ) ) / 14         (1)
         ( a + 13 - sqrt ( ( a + 13 ) * ( a + 13 ) - 28 * ( a * a - a - 2 ) ) ) / 14 <1         (2)
        From the definition field of √
         ( x + 13 ) * ( x + 13 ) - 28 * ( x * x - x - 2 ) ≥ 0        (3 )

---

    From inequality(1)：
         a < -1 或  a ＞ 2
    From inequality(2)：
         -2.073625 < a < 4
    From inequality(3)：
         -2.05505 ≤ a ≤ 4.05505

---

    From inequalities (1) and (2)
         -2.073625 < a < -1 或  2 < a < 4     (4)
    From inequalities (3) and (4)
         -2.05505 ≤ a < -1 或  2 < a < 4     (5)

---

    The final solution set is :
         -2.05505 ≤ a < -1 或  2 < a < 4
[ 2/2Inequality]
    Assignment:Find the solution set of inequality 1 <(a+13+sqrt((a+13)*(a+13)-28(a*a-a-2)))/14 <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        1 < ( a + 13 + sqrt ( ( a + 13 ) * ( a + 13 ) - 28 * ( a * a - a - 2 ) ) ) / 14         (1)
         ( a + 13 + sqrt ( ( a + 13 ) * ( a + 13 ) - 28 * ( a * a - a - 2 ) ) ) / 14 <2         (2)
        From the definition field of √
         ( x + 13 ) * ( x + 13 ) - 28 * ( x * x - x - 2 ) ≥ 0        (3 )

---

    From inequality(1)：
         a ＞ -2
    From inequality(2)：
         a < 0 或  a ＞ 3
    From inequality(3)：
         -2.05505 ≤ a ≤ 4.05505

---

    From inequalities (1) and (2)
         -2 < a < 0 或  a ＞ 3    (4)
    From inequalities (3) and (4)
         -2 < a < 0 或  3 < a ≤ 4.05505     (5)

---

    The final solution set is :
         -2 < a < 0 或  3 < a ≤ 4.05505

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