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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality log（2，2x-2）     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         log( 2 , 2 * x - 2 ) < log( 2 , 2 * x )         (1)
        From the definition field of log
         2 > 0        (2 )
         2 * x - 2 > 0 also ≠ 1        (3 )
        From the definition field of log
         2 > 0        (4 )
         2 * x > 0 并且 ≠ 1        (5 )

---

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

---

    From inequalities (1) and (2)
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (6)
    From inequalities (3) and (6)
         1 < x < 3/2 或  x ＞ 3/2    (7)
    From inequalities (4) and (7)
         1 < x < 3/2 或  x ＞ 3/2    (8)
    From inequalities (5) and (8)
         1 < x < 3/2 或  x ＞ 3/2    (9)

---

    The final solution set is :
         1 < x < 3/2 或  x ＞ 3/2

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

Return