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

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

---

    From inequality(1)：
         x < 2.21525
    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)：
         x ＞ 0.451416
    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 < 2.21525    (5)
    From inequalities (3) and (5)
         0.451416 < x < 2.21525     (6)
    From inequalities (4) and (6)
         0.451416 < x < 2.21525     (7)

---

    The final solution set is :
         0.451416 < x < 2.21525

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

Return